Essential learning targets

7th Grade - 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)

7th Grade - Unit 2: Introducing Proportional Relationships

Ratios & Proportional Relationships

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

7th Grade - 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)

7th Grade - 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)

7th Grade - 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)

7th Grade - 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)

8th Grade - Unit 3: Linear Relationships

Expressions & Equations

• Compares and interprets proportional and linear relationships using graphs, tables and equations. Derives the equation y = mx + b, understanding m as the rate of change and the slope of the graph, b as the y-intercept and the initial value, and points on the line as the set of all solutions to the equation.  (8.EE.B)

8th Grade - Unit 4: Linear Equations and Linear Systems

Expressions & Equations

• Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. (B.EE.C.7.b)

• Analyze and solve pairs of simultaneous linear equations using points of intersection on their graphs and algebraically. (8.EE.C.8).

8th Grade - Unit 7:  Exponents and Scientific Notation

Expressions & Equations

• Know and apply the properties of integer exponents to generate equivalent numerical expressions. (8.EE.A.1)

• Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. (8.EE.A.4)

8th Grade - Unit 8: Pythagorean Theorem and Irrational Numbers

Geometry

• Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions and to find the distance between two points in a coordinate system. (8.G.B)

• For rational numbers, show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions. (8.NS.A)

7th Grade - 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)