Domain (EE)

Expressions and Equations

7th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Use properties of operations to generate equivalent expressions

MAT-07.EE.01 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

7th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Use properties of operations to generate equivalent expressions

MAT-07.EE.02 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”

Student Learning Targets:

Knowledge Targets

• I can identify the commutative property

• I can identify the associative property
  

• I can identify the distributive property

Reasoning Targets

• I can use properties to simplify and evaluate expressions.

• I can manipulate expressions to make equivalent expressions while problem solving.

   

7th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Use properties of operations to generate equivalent expressions

MAT-07.EE.03 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

7th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Use properties of operations to generate equivalent expressions

MAT-07.EE.04 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

• a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare the algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
• b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
  

7th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Use properties of operations to generate equivalent expressions

Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

MAT-07.EE.04.a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare the algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

7th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Use properties of operations to generate equivalent expressions

Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

MAT-07.EE.04.b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.

For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Domain (G)

Geometry

7th Grade MAT Targeted Standards
Domain (G) Geometry
Cluster: Draw, construct and describe geometrical figures and describe the relationships between them

MAT-07.G.01 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

Student Learning Targets:

Skills Domain (Performance) Targets

• I can use scale drawing to determine the actual dimensions and area of geometric figure

Product Targets

• I can use a different scale to reproduce a similar scale drawing

Proficiency Scale

Link to the Proficiency Scale

Web Resources

• https://www.khanacademy.org
  • scale drawings
• big ideas math
  • This content is found in Chapter 5

7th Grade MAT Targeted Standards
Domain (G) Geometry
Cluster: Draw, construct, and describe geometrical figures and describe the relationships between them.

MAT-07.G.02 Draw (freehand, with ruler and protractor, and with technology) geometric shapes from given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

Student Learning Targets:

• I can determine when three specific measurements will result in one unique triangle, more than one possible triangle or no possible triangle.
•  I can draw a geometric shape with specific conditions.
• I can construct a triangle when given three measurements (3 sides lengths, 3 angles, or combinations of side and angle measurements