### 7th Grade Math Plus Learning Intentions

**7 ^{th} Math Plus Learning Intentions and Success Criteria**

**2016 – 2017**

**Unit 1: Number System **

**Learning Intention 1: I will apply and extend my understanding of addition and subtraction to rational numbers.**

- I can locate rational numbers on a number line. 6.NS.6
- I can understand that the absolute value of a number,, is its distance from zero. 6.NS.7c
- I can describe a situation where opposite values combine to make zero. 7.NS.1a
- I can find the distance between rational numbers on a number line. 7.NS.1.b
- I can model the sums of rational numbers using a number line, chips, or other representations. 7.NS.1b
- I can calculate the sum of rational numbers. 7.NS.1d
- I can model the difference of rational numbers using a number line, chips, or other representations. 7.NS.1c
- I can calculate the difference between rational numbers. 7.NS.1d

**Learning Intention 2: I will apply and extend my understanding of multiplication and division to rational numbers.**

- I can justify the products of rational numbers. 7.NS.2a
- I can justify the quotients of rational numbers. 7.NS.2b
- I can use properties of operations to multiply and divide rational numbers. 7.NS.2c
- I can convert a rational number to a decimal using long division. 7.NS.2d
- I can identify the decimal form of a rational number as a terminating or repeating decimal. 7.NS.2d

** **

**Learning Intention 3: I will solve mathematical problems using properties and operations with rational numbers.**

- I can use the distributive property and factoring to rewrite or simplify problems with rational numbers. 7.EE.1
- I can use order of operations to solve problems with rational numbers. 7.NS.3

** **

**Unit 2: Ratios and Proportional Relationships **** **

**Learning Intention 4: I will understand unit rates. **

- I can make comparisons with ratios and unit rates. 7.RP.1
- I can compute unit rates from ratios with different units. 7.RP.1
- I can compute unit rates from complex fractions. 7.RP.1
- I can use the context of a problem to identify the meaning of a unit rate. 7.RP.1
- I can use a unit rate to determine if two or more ratios are proportional (equivalent). 7.RP.2

**Learning Intention 5: I will recognize and represent proportional relationships in multiple ways. **

- I can decide if a proportional relationship exists by examining
- a table,
- a graph, and
- an equation. 7.RP.2a

- I can explain the connections between the different representations of proportional relationships. 7.RP.2
- I can calculate the constant of proportionality using values in a table. 7.RP.2b
- I can calculate the constant of proportionality using values in a graph. 7.RP.2b
- I can identify the constant of proportionality in an equation. 7.RP.2b
- I can write an equation for a proportional relationship. 7.RP.2c
- I can explain the connection between a point on a graph and the situation. 7.RP.2d

** **

**Learning Intention 6: I will use proportional relationships to solve problems.**

- I can use proportions to solve multi-step word problems. 7.RP.3
- I can classify a scale drawing as an enlargement or reduction. 7.G.1
- I can use a scale drawing to compute the actual lengths and areas of a geometric figure. 7.G.1
- I can use actual measures to determine measures on a scale drawing. 7.G.1
- I can identify the scale factor given two figures. 7.G.1

**Learning Intention 7: I will define the slope of linear functions.**

a. I can determine the slope of a line. 8.EE.6

b. I can create similar triangles to determine the slope of a line. 8.EE.6

**Learning Intention 8: I will interpret the equation y=mx+b as defining a linear equation.**

a. I can identify the y-intercept. 8.EE.6

b. I can write equations in the form y=mx+b and recognize that b represents the y-intercept and m represents slope. 8.EE.6

c. I can describe the relationship between tables, graphs, and equations. 7.RP.2b and c, 8.EE.5

**Unit 3: Expressions, Equations and Inequalities **

**Learning Intention 9:** **I will use properties of operations to generate equivalent expressions.**

- I can use the distributive property and factoring to rewrite or simplify problems with variables. 7.EE.1
- I can combine like terms to rewrite expressions. 7.EE.2

**Learning Intention 10:** **I will solve problems using equations.**

- I can translate a real-world situation into an equation. 7.EE.4a

b. I can solve multi-step equations with positive and negative numbers in any form (whole numbers, fractions, and decimals). 7.EE.3, 7.EE.4a

c. I can assess the reasonableness of my answer. 7.EE.3

d. I can simplify and solve a linear equation by using the Distributive Property and combining like terms. 8.EE.7b

e. I can solve linear equations with rational number coefficients. 8.EE.7b

**Learning Intention 11:** **I will solve problems using inequalities and graph the solution.**

- I can translate a real-world situation into an inequality. 7.EE.4b
- I can solve inequalities with positive and negative numbers in any form (whole numbers, fractions, and decimals). 7.EE.3, 7.EE.4b
- I can graph the solution of an inequality on a number line. 7.EE.4b
- I can assess the reasonableness of my answer. 7.EE.3

**Unit 4: Geometry Part A **

**Learning Intention 12: I will draw, construct and describe triangles.**

a. I can determine if a set of angles will construct a triangle. 7.G.2

b. I can determine if a set of side lengths will construct a triangle. 7.G.2

c. I can determine interior angle measures of a triangle. 8.G.5

d. I can determine the exterior angle measures of a triangle. 8.G.5

** **

**Learning Intention 13: I will solve problems involving circles.**

- I can state and use the formula for finding the circumference of a circle. 7.G.4
- I can state and use the formula for finding the area of a circle. 7.G.4
- I can determine the diameter or radius of a circle when the circumference is given. 7.G.4
- I can determine whether to use area or circumference to solve a problem. 7.G.4
- I can solve real-world problems involving area and circumference. 7.G.4, 7.G.6

**Learning Intention 14: I will use facts about angles to solve problems.**

a. I can state the relationship between supplementary, complementary, vertical, adjacent angles. 7.G.5

b. I can use angle relationships to write equations for unknown angles. 7.G.5

c. I can use angle relationships to solve multi-step problems. 7.G.5

d. I can determine angle measures created when parallel lines are cut by a transversal. 8.G.5

**Learning Intention 15: I will solve problems involving three-dimensional figures.**

- I can calculate the surface area of three-dimensional figures. 7.G.6
- I can calculate the volume of three-dimensional figures. 7.G.6, 8.G.9
- I can describe the relationship between the volume of a cone, cylinder, and sphere with the same base and height. 8.G.9
- I can find unknown dimensions given the Surface Area of Volume of three-dimensional figures. 7.G.6
- I can identify the two-dimensional figures that result from slicing three-dimensional figures. 7.G.3

** **

**Unit 5: Percentages **

**Learning Intention 16: I will solve problems with percents.**

- I can solve problems involving sales tax, including
- calculating amount of tax on an item,
- calculating total price, and
- determining the tax rate. 7.RP.3

- I can solve problems involving percent increase and decrease, including
- calculating discount or markup,
- calculating final price, and
- calculating increase or decrease. 7.RP.3

- I can calculate the percent of error based on the difference between the observed and actual values. 7.RP.3
- I can calculate gratuities and commissions. 7.RP.3
- I can rewrite expressions in different forms to solve percent problems. 7.EE.2 (i.e. increase by 5% is the same as multiplying by 1.05)
- I can calculate simple interest. 7.RP.3

**Unit 6: Geometry Part B – Pythagorean Theorem **

**Learning Intention 17: I will understand that there are numbers that are not rational and approximate them by a rational number.**

a. I can evaluate the square root of a perfect square. 8.EE.2

b. I can approximate the value of a square root on a number line. 8.NS.2

c. I can recognize the relationship between square numbers and square roots. 8.EE.2

d. I can recognize the relationship between cube numbers and cube roots. 8.EE.2

e. I can classify a number as rational based on the decimal expansion. 8.NS.1

f. I can convert a repeating decimal in to a fraction. 8.NS.1

g. I can operate with repeating decimals. 8.NS.1

h. I can classify a number as irrational or rational based on its decimal expansion. 8.NS.1

**Learning Intention 18:** **I will understand and apply the Pythagorean Theorem.**

a. I can explain a proof of the Pythagorean Theorem. 8.G.6

b. I can apply the Pythagorean Theorem to determine if three given lengths form a right triangle. 8.G.6

c. I can apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematics problems. 8.G.7

d. I can apply the Pythagorean Theorem to find the distance between two points in a coordinate plane. 8.G.8

e. I can apply the Pythagorean Theorem to determine unknown lengths in 3-D figures. 8.G.7

**Unit 7: Probability **

**Learning Intention 19: I will understand that probability represents the likelihood that an event will occur.**

- I can recognize and explain that probabilities are expressed as a number between 0 and 1. 7.SP.5
- I can interpret probabilities to determine if events are likely, equally likely, unlikely, certain or impossible. 7.SP.5
- I can estimate the probability of a chance event by collecting data. 7.SP.6
- I can use experimental probability to make a prediction. 7.SP.6
- I develop a probability model to determine the probability of a uniform, single event. 7.SP.7
- I can develop a probability model to determine the probability of a non-uniform single event. 7.SP.7
- I can represent and identify the sample space for a compound event. 7.SP.8
- I can use the sample space to compare the number of favorable outcomes to the total number of outcomes and determine the probability of the compound event. 7.SP.8
- I can design and use a simulation to predict the probability of a compound event. 7.SP.8

**Unit 8: Statistics **

**Learning Intention 20: I will compare two populations using statistical measures.**

- I can calculate and describe what the measures of center (mean, median, and mode) tell about a set of data. 6.SP.5
- I can calculate and describe what the measures of variability (interquartile range and mean absolute deviation) tell about a set of data. 6.SP.5
- I can compare the visual overlap of a data set. 7.SP.3
- I can use measures of center and measures of variability (spread) to compare sets of data. 7.SP.4

**Learning Intention 21: I will use random sampling to draw inferences about a population.**

- I can use the sample population to make predictions. 7.SP.2
- I can determine if a sample is representative of a population. 7.SP.1