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In 7th grade, students learn to construct, solve and interpret proportions and two step equations using rational numbers in order to apply and represent these skills in real world situations including statistics, percent, geometry and probability.
Essential Standards
(DOK Levels 1, 2)
(DOK Levels 1, 2)
7.EE.B Target D - Solve real-life and mathematical problems using numerical and algebraic expressions and equations. (DOK Levels 1, 2)
7.EE.B Target D - Solve real-life and mathematical problems using numerical and algebraic expressions and equations. (DOK Levels 1, 2)
7.G.B Target F - Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. (DOK Levels 1, 2)
7.G.B Target F - Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. (DOK Levels 1, 2)
7.EE.A.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
There are no substandards for this standard.
Embed with 7.EE.1, 7.EE.A.2 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.”
7.EE.B.4 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 an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54cm. Its length is 6 cm. What is its width?
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. Give an inequality for the number of sales you need to make, and describe the solutions.
Embed with 7.EE.4a, 7.G.B.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
There are no substandards for this standard. This standard should be emedded as application of 7.EE.4a
7.G.B.4 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
There are no substandards for this standard.
7.G.B.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
There are no substandards for this standard.
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Supporting Standards
(DOK Levels 1, 2)
(DOK Levels 1, 2)
7.EE.B Target D - Solve real-life and mathematical problems using numerical and algebraic expressions and equations. (DOK Levels 1, 2)
7.EE.B Target D - Solve real-life and mathematical problems using numerical and algebraic expressions and equations. (DOK Levels 1, 2)
7.G.B Target F - Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. (DOK Levels 1, 2)
7.G.B Target F - Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. (DOK Levels 1, 2)
Embed with 7.EE.1, 7.EE.A.2 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.”
7.EE.A Use properties of operations to generate equivalent expressions. (DOK Levels 1, 2)
Using Variables. See page 24 of the PLC Resource Guide.
Additional depth provided by taking 7.EE.4b & 7.G.4-6 to ALD Level 4.
See page 24 of the PLC Resource Guide.
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