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Poyen School |
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Poyen School Curriculum K - 12 2007-2008 |
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Mathematics - 7th Grade Math |
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Ratio/proportions/percents
The learner will be able to
relate, with and without models and pictures, concepts of ratio, proportion, and percent, including percents less than 1 and greater than 100.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Number Sense: Rational Numbers |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.1.7.1 |
Classroom
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Instructional Resources |
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| · |
Course 2, McDougal Littell, Ratios: Section 8.1 [Textbook]. |
| · |
Course 2, McDougal Littell, Percents: greater than 100; less than 1 [Textbook]. Section 9.3 |
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Course 2, McDougal Littell, Proportions: [Textbook]. Sections 8.4, 8.5, 9.1, 9.2 |
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Place value/powers of 10/scientific not.
The learner will be able to
demonstrate, with and without appropriate technology, an understanding of place value using powers of 10 and write numbers greater than one in scientific notation.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Number Sense: Rational Numbers |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks .1.7.2 |
Classroom
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Instructional Resources |
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| · |
Course 2, McDougal Littell, Place Value using powers of 10 [Textbook]. Section 2.5 |
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Course 2, McDougal Littell, Scientific Notations [Textbook]. Sections 2.5, 2.7 |
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Scientific and standard notation
The learner will be able to
convert between scientific notation and standard notation using numbers greater than one.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Number Sense: Rational Numbers |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.1.7.3 |
Classroom
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Instructional Resources |
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| · |
Course 2, McDougal Littell, Convert: Scientific/standard notations [Textbook]. Section 2.5 |
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Mixed number/decimal/percent equivalents
The learner will be able to
find decimal and percent equivalents for mixed numbers and explain why they represent the same value.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Number Sense: Rational Numbers |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.1.7.4 |
Classroom
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| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Section 4.7 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 9.3 [Textbook]. |
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Course 2, McDougal Littell, Page 428: problems 50 - 57 [Textbook]. |
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Integers, fractions, decimals, mixed #
The learner will be able to
compare and represent integers, fractions, decimals, and mixed numbers and find their approximate location on a number line.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Number Sense: Rational Numbers |
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Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.1.7.5 |
Classroom
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Instructional Resources |
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| · |
Course 2, McDougal Littell, Section 2.1 [Textbook]. |
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Course 2, McDougal Littell, Section 4.3 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 4.5 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 4.6 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 4.7 [Textbook]. |
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Course 2, McDougal Littell, Section 6.1 [Textbook]. |
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Course 2, McDougal Littell, Page 193: numbers 15 - 18 [Textbook]. |
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Subsets of real number system
The learner will be able to
recognize subsets of the real number system (natural, whole, integers, rational, and irrational numbers).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Number Sense: Rational Numbers |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.1.7.6 |
Classroom
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Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Real number system: section 11.2 [Textbook]. |
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Course 2, McDougal Littell, Rational numbers: section 6.6 [Textbook]. |
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Distributive property
The learner will be able to
apply the distributive property of multiplication over addition or subtraction to simplify computations with integers, fractions, and decimals.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Prop. of Number Operations: # Theory |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.2.7.1 |
Classroom
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Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Section 6.7 [Textbook]. |
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One-step equations
The learner will be able to
apply the addition, subtraction, multiplication, and division properties of equality to one-step equations with integers, fractions, and decimals.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Prop. of Number Operations: # Theory |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.2.7.2 |
Classroom
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Instructional Resources |
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| · |
Course 2, McDougal Littell, Section 5.1 [Textbook]. |
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Course 2, McDougal Littell, Section 5.2 [Textbook]. |
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Course 2, McDougal Littell, Section 5.3 [Textbook]. |
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Course 2, McDougal Littell, Section 5.4 [Textbook]. |
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Course 2, McDougal Littell, Section 7.3 [Textbook]. |
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Course 2, McDougal Littell, Section 7.4 [Textbook]. |
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Order of operations
The learner will be able to
apply rules (conventions) for order of operations to integers and positive rational numbers including parentheses, brackets, or exponents.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Prop. of Number Operations: # Theory |
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Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.2.7.3 |
Classroom
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Instructional Resources |
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| · |
Course 2, McDougal Littell, Section 1.4 [Textbook]. |
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Operations with integers
The learner will be able to
model and develop addition, subtraction, multiplication, and division of integers.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Prop. of Number Op.:Understand Operation |
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Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.2.7.4 |
Classroom
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Instructional Resources |
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| · |
Course 2, McDougal Littell, Addition of Integers [Textbook]. Section 6.2 |
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Course 2, McDougal Littell, Subtraction of Integers [Textbook]. Section 6.3 |
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Course 2, McDougal Littell, Multiplication of Integers [Textbook]. Section 6.4 |
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Course 2, McDougal Littell, Division of Integers [Textbook]. Section 6.5 |
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Integers & positive rational numbers
The learner will be able to
compute, with and without appropriate technology, with integers and positive rational numbers using real-world situations to solve problems.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| # Op. & Estimation: Comp. Fluency |
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Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.3.7.1 |
Classroom
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Instructional Resources |
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| · |
Course 2, McDougal Littell, Compute with Integers [Textbook]. Sections 6.2, 6.3, 6.4, 6.5 |
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Course 2, McDougal Littell, Positive Rational numbers; decimals & fractions [Textbook]. Section 6.6 |
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Course 2, McDougal Littell, Operations with decimals [Textbook]. sections 2.2, 2.3, 2.4 |
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Course 2, McDougal Littell, Operations with Fractions [Textbook]. sections 5.1, 5.2, 5.3, 5.4 |
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Multi-step problems
The learner will be able to
solve with and without appropriate technolgy, multi-step problems using a variety of methods and tools (i.e., objects, mental computation, paper and pencil).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| # Op. & Estimation: Comp. Fluency |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.3.7.2 |
Classroom
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Instructional Resources |
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| · |
Course 2, McDougal Littell, Multistep problems; page 337: number 66 [Textbook]. |
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Course 2, McDougal Littell, Sections 1.5, 1.7, 7.5 [Textbook]. |
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Course 2, McDougal Littell, Open Response items throughout year [Textbook]. |
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Estimation: determine reasonable answer
The learner will be able to
determine when an estimate is sufficient and use estimation to decide whether answers are reasonable in problems including fractions and decimals.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| # Op. & Estimation: Estimation |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.3.7.3 |
Classroom
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Instructional Resources |
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| · |
Course 2, McDougal Littell, Reasonableness of answers: decimals [Textbook]. Section 2.3; pages 63 & 64 |
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Course 2, McDougal Littell, Reasonableness of answers: fractions [Textbook]. section 5.1; page 206 |
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Factorization, LCM, GCF
The learner will be able to
apply factorization, LCM, and GCF to solve problems using more than two numbers and explain the solution.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| # Op. & Estimation: App. of Computat |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.3.7.4 |
Classroom
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Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Apply Factorization; section 4.1 [Textbook]. |
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Course 2, McDougal Littell, LCM: Section 4.4 [Textbook]. |
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Course 2, McDougal Littell, GCF: section 4.2 [Textbook]. |
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Absolute value, exponents, square roots
The learner will be able to
represent and solve problem situations that can be modeled by and solved using concepts of absolute value, exponents, and square roots (for perfect squares) with and without appropriate technology.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| # Op. & Estimation: App. of Computat |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.3.7.5 |
Classroom
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Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Exponents: section 1.3 [Textbook]. |
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Course 2, McDougal Littell, Exponents: Hands On Activity page 13 [Textbook]. |
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Course 2, McDougal Littell, Square roots: Perfect squares: [Textbook]. Sections 11.1, 11.2, 11.3 |
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Real world percent problems
The learner will be able to
solve, with and without technology, real world percent problems. (Example: I = PRT).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| # Op. & Estimation: App. of Computat |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NO.3.7.6 |
Classroom
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Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Percent equations: section 9.4 [Textbook]. |
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Course 2, McDougal Littell, Percent increase/decrease: section 9.6 [Textbook]. |
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Course 2, McDougal Littell, Discounts, markups, sales tax, tips; section 9.7 [Textbook]. |
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Course 2, McDougal Littell, Simple interest; I = PRT; Section 9.8 [Textbook]. |
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Function table with two operations
The learner will be able to
create and complete a function table (input/output) using a given rule with two operations.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Patterns, Relations, Functions |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks A.4.7.1 |
Classroom
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Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Input/output tables; section 7.7 [Textbook]. |
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Patterns
The learner will be able to
identify and extend patterns in real world situations.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Patterns, Relations, Functions |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks A.4.7.2 |
Classroom
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Instructional Resources |
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| · |
Course 2, McDougal Littell, Extending patterns in a function; section 7.7 [Textbook]. |
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Course 2, McDougal Littell, Describing a pattern; section 1.1 [Textbook]. |
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Course 2, McDougal Littell, Problem solving strategies; Looking for a pattern [Textbook]. Section 1.7; Pages 36 & 37 |
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Rule for 2 operation function table
The learner will be able to
interpret and write a rule for a two-operation function table (Example: multiply by 2 and add 1).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Patterns, Relations, Functions |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks A.4.7.3 |
Classroom
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| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Section 7.3 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 7.4 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 7.6 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 7.7 [Textbook]. |
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Linear equations and inequalities
The learner will be able to
solve and graph one-step linear equations and inequalities using a variety of methods (i.e., hands-on, inverse operations, symbolic) with real world application with and without technology.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Alg. Rep.:Expressions,Equations,Inequal. |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks A.5.7.1 |
Classroom
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| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Equations: section 1.5 [Textbook]. |
| · |
Course 2, McDougal Littell, Equations: section 7.8 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 7.5 [Textbook]. |
| · |
Course 2, McDougal Littell, Inequalities: section 7.6 [Textbook]. |
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Linear equations with integers
The learner will be able to
solve simple linear equations using integers and graph on a coordinate plane. Example: Use a T chart.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Alg. Rep.:Expressions,Equations,Inequal. |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks A.5.7.2 |
Classroom
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| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Section 7.8 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 7.3 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 7.5 [Textbook]. |
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Translate phrases to algebraic
The learner will be able to
translate phrases and sentences into algebraic expressions and equations including parentheses and positive and rational numbers and simplify algebraic expressions by combining like terms.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Alg. Rep.:Expressions,Equations,Inequal. |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks A.5.7.3 |
Classroom
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Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Write/translate: section 7.1 [Textbook]. |
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Course 2, McDougal Littell, Simplify Algebraic expressions: sections 7.2 [Textbook]. |
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Write and evaluate algebraic expressions
The learner will be able to
write and evaluate algebraic expressions using positive rational numbers.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Alg. Rep.:Expressions,Equations,Inequal. |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks A.5.7.4 |
Classroom
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| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Section 7.1 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 1.2 [Textbook]. |
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Linear equations on coordinate plane
The learner will be able to
use tables and graphs to represent linear equations by plotting, with and without appropriate technology, points in a coordinate plane.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Algebraic Models and Relationships |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks A.6.7.1 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Section 7.8 [Textbook]. |
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Data table to plot linear equations
The learner will be able to
represent, with and without appropriate technology, linear equations by plotting and graphing points in the coordinate plane using all four quadrants given data in a table from a real world situation.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Algebraic Models and Relationships |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks A.6.7.2 |
Classroom
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| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Section 7.8 [Textbook]. |
| · |
Course 2, McDougal Littell, Technology Activity: page 359 [Textbook]. |
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Function table with 2 operations
The learner will be able to
create and complete a function table (input/output) using a given rule with two operations in real world situations.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Algebraic Models and Relationships |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks A.6.7.3 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Section 7.7 [Textbook]. |
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Rates of change
The learner will be able to
use, with and without appropriate technology, tables and graphs to compare and identify situations with constant or varying rates of change.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Analysis of Change: Analyze Change |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks A.7.7.1 |
Classroom
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| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Section 8.2 [Textbook]. |
| · |
Course 2, McDougal Littell, Consant Rate of Change: Section 8.3 [Textbook]. |
| · |
Course 2, McDougal Littell, Technology Activity; page 383 [Textbook]. |
| · |
Course 2, McDougal Littell, Yellow Workbook Practice 5-2: page 79 [Textbook]. Varying Rates of Change |
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Geometric figures
The learner will be able to
identify, draw, classify, and compare geometric figures using models and real world examples.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Geometric Properties:Char. Geom. Shapes |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks G.8.7.1 |
Classroom
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| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Angles: section 10.1 [Textbook]. |
| · |
Course 2, McDougal Littell, Special pairs of angles: section 10.2 [Textbook]. |
| · |
Course 2, McDougal Littell, Triangles: section 10.3 [Textbook]. |
| · |
Course 2, McDougal Littell, Polygons: section 10.4 [Textbook]. |
| · |
Course 2, McDougal Littell, Hands on Activity: pages 490-491 [Textbook]. Constructions: draw |
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Geometric properties
The learner will be able to
investigate geometric properties and their relationships in one, two, and three dimensions models, including convex and concave polygons.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Geometric Properties:Char. Geom. Shapes |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks G.8.7.2 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Section 10.1 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 10.2 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 10.3 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 10.4 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 10.5 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 10.6 [Textbook]. |
| · |
Course 2, McDougal Littell, Three dimensions (solids): section 12.1 [Textbook]. |
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Pairs of angles
The learner will be able to
recognize the pairs of angles formed and the relationship between the angles including two intersecting lines and parallel lines cut by a transversal (vertical, supplementary, complementary, corresponding, alternate interior, alternate exterior angles and linear pair).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Geometric Properties:Char. Geom. Shapes |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks G.8.7.3 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Section 10.1 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 10.2 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 10.4 [Textbook]. |
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Sum of measures of interior angles
The learner will be able to
use paper or physical models to determine the sum of the measures of interior angles of triangles and quadrilaterals.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Geometric Properties:Char. Geom. Shapes |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks G.8.7.4 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Sum of measures interior angles of triangles [Textbook]. Section 10.3 |
| · |
Course 2, McDougal Littell, Activity page 484 [Textbook]. Use paper to find the sum of angle measures |
| · |
Course 2, McDougal Littell, Sum of measures; quadrilaterals; section 10.4 [Textbook]. |
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Concept of pi
The learner will be able to
model and develop the concept that pi is the ratio of the circumference to the diameter of any circle. Use symbolism for pi.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Geometric Properties:Char. Geom. Shapes |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks G.8.7.5 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Section 11.6 [Textbook]. |
|
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Properties of similar figures
The learner will be able to
develop the properties of similar figures (ratio of sides and congruent angles).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Geometric Properties:Char. Geom. Shapes |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks G.8.7.6 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Similar figures: section 10.5 [Textbook]. |
| · |
Course 2, McDougal Littell, Using proportions with similar polygons [Textbook]. section 10.6 |
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Transformations
The learner will be able to
examine the congruence, similarity, and line or rotational symmetry of objects using transformations.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Transformations of Shapes:Symmetry&T |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks G.9..7.1 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Course 2, McDougal Littell, Section 10.7 [Textbook]. |
| · |
Course 2, McDougal Littell, Section 10.8 [Textbook]. |
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