Module Three: Expressions and Equations
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Standard for Lessons 1-6: 7.EE.1 Apply properties of operations as strategies to:
o Add, subtract, and expand linear expressions with rational coefficients.
o Factor linear expression with an integer GCF.
Previous Grade Standards: 6.EE.3, 6EE.4
Standard for Lessons 3-4: 7.EE.2 Understand that equivalent expressions can reveal real-world and
mathematical relationships. Interpret the meaning of the parts of each expression in context.
Standard for Lesson 3 7.G.1 Solve problems involving scale drawings of geometric figures by:
o Add, subtract, and expand linear expressions with rational coefficients.
o Factor linear expression with an integer GCF.
Previous Grade Standards: 6.EE.3, 6EE.4
Standard for Lessons 3-4: 7.EE.2 Understand that equivalent expressions can reveal real-world and
mathematical relationships. Interpret the meaning of the parts of each expression in context.
Standard for Lesson 3 7.G.1 Solve problems involving scale drawings of geometric figures by:
o Building an understanding that angle measures remain the same and side lengths are proportional.
Previous Grade Standard: 6.G.1
Previous Grade Standard: 6.G.1
Tips for Parents, Topic B | |
File Size: | 538 kb |
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Standards for Lessons 7-15:
7.EE.3 Solve multi-step real-world and mathematical problems posed with rational numbers in algebraic expressions.
o Apply properties of operations to calculate with positive and negative numbers in any form.
o Convert between different forms of a number and equivalent forms of the expression as appropriate.
7.EE.4 Use variables to represent quantities to solve real-world or mathematical problems.
a. Construct equations to solve problems by reasoning about the quantities.
o Fluently solve multistep equations with the variable on one side, including those generated by word problems.
o Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
o Interpret the solution in context.
Previous Grade Standards: 6.EE.6, 6EE.7
Standard for Lesson 10-11: 7.G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve
equations for an unknown angle in a figure.
Previous Grade Standard: 4.MD.7
Standards for Lessons 12-15: 7.EE.4 Use variables to represent quantities to solve real-world or mathematical problems.
b. Construct inequalities to solve problems by reasoning about the quantities.
o Fluently solve multi-step inequalities with the variable on one side, including those generated by word problems.
o Compare an algebraic solution process for equations and an algebraic solution process for inequalities.
o Graph the solution set of the inequality and interpret in context.
Previous Grade Standards: 6.EE.6, 6EE.8
7.EE.3 Solve multi-step real-world and mathematical problems posed with rational numbers in algebraic expressions.
o Apply properties of operations to calculate with positive and negative numbers in any form.
o Convert between different forms of a number and equivalent forms of the expression as appropriate.
7.EE.4 Use variables to represent quantities to solve real-world or mathematical problems.
a. Construct equations to solve problems by reasoning about the quantities.
o Fluently solve multistep equations with the variable on one side, including those generated by word problems.
o Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
o Interpret the solution in context.
Previous Grade Standards: 6.EE.6, 6EE.7
Standard for Lesson 10-11: 7.G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve
equations for an unknown angle in a figure.
Previous Grade Standard: 4.MD.7
Standards for Lessons 12-15: 7.EE.4 Use variables to represent quantities to solve real-world or mathematical problems.
b. Construct inequalities to solve problems by reasoning about the quantities.
o Fluently solve multi-step inequalities with the variable on one side, including those generated by word problems.
o Compare an algebraic solution process for equations and an algebraic solution process for inequalities.
o Graph the solution set of the inequality and interpret in context.
Previous Grade Standards: 6.EE.6, 6EE.8
Tips for Parents, Topic C | |
File Size: | 458 kb |
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Standard for Lesson 16: 7.G.4 Understand area and circumference of a circle.
o Understand the relationships between the radius, diameter, circumference, and area.
Previous Grade Standard: 6.G.1
Standard for Lessons 16-18, 20: 7.G.4 Understand area and circumference of a circle.
o Apply the formulas for area and circumference of a circle to solve problems.
Previous Grade Standard: 6.G.1
Standard for Lessons 19-20: 7.G.6 Solve real-world and mathematical problems involving:
o Area and perimeter of two-dimensional objects composed of triangles, quadrilaterals, and polygons.
Previous Grade Standards: 6.G.1, 6.G.2, 6.G.4
Standard for Lessons 16-26: 7.G.6 Solve real-world and mathematical problems involving:
o Volume and surface area of pyramids, prisms, or three-dimensional objects composed of cubes, pyramids, and right prisms.
Previous Grade Standards: 6.G.1, 6.G.2, 6.G.4
o Understand the relationships between the radius, diameter, circumference, and area.
Previous Grade Standard: 6.G.1
Standard for Lessons 16-18, 20: 7.G.4 Understand area and circumference of a circle.
o Apply the formulas for area and circumference of a circle to solve problems.
Previous Grade Standard: 6.G.1
Standard for Lessons 19-20: 7.G.6 Solve real-world and mathematical problems involving:
o Area and perimeter of two-dimensional objects composed of triangles, quadrilaterals, and polygons.
Previous Grade Standards: 6.G.1, 6.G.2, 6.G.4
Standard for Lessons 16-26: 7.G.6 Solve real-world and mathematical problems involving:
o Volume and surface area of pyramids, prisms, or three-dimensional objects composed of cubes, pyramids, and right prisms.
Previous Grade Standards: 6.G.1, 6.G.2, 6.G.4
The Volume of a cereal box tells us how much cereal the box contains.
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