Essential learning targets

Unit 1: Scale Drawings

Geometry

• 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. (7.G.A.1)

Unit 2: Introducing Proportional Relationships

Ratios & Proportional Relationships

• Recognize and represent proportional relationships between quantities using tables, graphs, and equations. (7.RP.A.2)

Unit 3: Measuring Circles

Geometry

• Know the formulas for the area and circumference of a circle and use them to solve problems. (7.G.B.4)

Unit 4: Proportional Relationships and Percentages

Ratios & Proportional Relationships

• Use proportional relationships to solve multistep ratio and percent problems, such as simple interest, tax, markups and markdowns, gratuities and commissions, fees, and percent increase and decrease. (7.RP.A.3)

Unit 5: Rational Number Arithmetic

The Number System

• Apply properties of operations as strategies to add and subtract rational numbers to solve real-world and mathematical problems. (7.NS.A.1)

• Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers to solve real-world and mathematical problems. (7.NS.A.2)

Unit 6: Expressions, Equations and Inequalities

Expressions & Equations

• Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. (7.EE.A.1)

• Fluently 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. (7.EE.B.4.A)

• Fluently graph and 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. (7.EE.B.4.B)

Unit 7: Angles, Triangles and Prisms

Geometry

• Draw geometric shapes with given conditions and describe the two-dimensional figures that result from slicing three-dimensional figures. (7.G.A.2.A.3)

• 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 and solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects. (7.G.B.5.B.6)

Unit 8: Probability and Sampling

Statistics & Probability

• Use random sampling to draw inferences about a population and draw informal comparative inferences about two populations. (7.SP.A.B)

• Investigate chance processes and develop, use, and evaluate probability models. (7.SP.C)