1: The student will demonstrate an understanding of numbers, operations, and quantitative reasoning.

1.7.1: The student represents and uses numbers in a variety of equivalent forms.

1.7.1.A: compare and order integers and positive rational numbers;

Comparing and Ordering Integers
Fraction Garden (Comparing Fractions)
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions, and Decimals Greater Than 1

1.7.1.B: convert between fractions, decimals, whole numbers, and percents mentally, on paper, [or with a calculator]; and

Percents and Proportions
Percents, Fractions, and Decimals

1.7.1.C: represent squares and square roots using geometric models.

Square Roots

1.7.2: The student adds, subtracts, multiplies, or divides to solve problems and justify solutions.

1.7.2.A: represent multiplication and division situations involving fractions and decimals with models, including [concrete objects,] pictures, words, and numbers;

Dividing Fractions
Multiplying Fractions
Multiplying with Decimals

1.7.2.B: use addition, subtraction, multiplication, and division to solve problems involving fractions and decimals;

Adding Fractions (Fraction Tiles)
Dividing Fractions
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying with Decimals
Sums and Differences with Decimals

1.7.2.C: use models, such as [concrete objects,] pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms;

Adding Real Numbers
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Comparing and Ordering Integers
Real Number Line - Activity A

1.7.2.D: use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratio;

Polling: Neighborhood
Road Trip (Problem Solving)
Similar Figures - Activity A
Toy Factory (Set Models of Fractions)

1.7.2.E: simplify numerical expressions involving order of operations and exponents;

Order of Operations

2: The student will demonstrate an understanding of patterns, relationships, and algebraic reasoning.

2.7.3: The student solves problems involving direct proportional relationships.

2.7.3.B: estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units.

Estimating Population Size
Household Energy Usage
Road Trip (Problem Solving)
Similar Figures - Activity A

2.7.4: The student represents a relationship in numerical, geometric, verbal, and symbolic form.

2.7.4.A: generate formulas involving unit conversions within the same system (customary and metric), perimeter, area, circumference, volume, and scaling;

Area of Parallelograms - Activity B
Circle: Circumference and Area
Rectangle: Perimeter and Area

2.7.4.B: graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling;

Area of Parallelograms - Activity B
Circle: Circumference and Area
Elevator Operator (Line Graphs)

2.7.4.C: use words and symbols to describe the relationship between the terms in an arithmetic sequence (with a constant rate of change) and their positions in the sequence.

Arithmetic Sequences
Arithmetic and Geometric Sequences

2.7.5: The student uses equations to solve problems.

2.7.5.A: use [concrete and] pictorial models to solve equations and use symbols to record the actions; and

Modeling and Solving Two-Step Equations
Solving Two-Step Equations

2.7.5.B: formulate problem situations when given a simple equation and formulate an equation when given a problem situation.

Using Algebraic Equations

3: The student will demonstrate an understanding of geometry and spatial reasoning.

3.7.6: The student compares and classifies two- and three-dimensional figures using geometric vocabulary and properties.

3.7.6.A: use angle measurements to classify pairs of angles as complementary or supplementary;

Investigating Angle Theorems - Activity A

3.7.6.B: use properties to classify triangles and quadrilaterals;

Bisectors in Triangles
Classifying Quadrilaterals - Activity A
Classifying Triangles
Triangle Angle Sum - Activity A
Triangle Inequalities

3.7.6.C: use properties to classify three-dimensional figures, including pyramids, cones, prisms, and cylinders; and

Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

3.7.6.D: use critical attributes to define similarity.

Similar Figures - Activity A

3.7.7: The student uses coordinate geometry to describe location on a plane.

3.7.7.A: locate and name points on a coordinate plane using ordered pairs of integers; and

City Tour (Coordinates)
Points in the Coordinate Plane - Activity A

3.7.7.B: graph reflections across the horizontal or vertical axis and graph translations on a coordinate plane.

Elevator Operator (Line Graphs)
Quilting Bee (Symmetry)
Reflections
Rock Art (Transformations)
Rotations, Reflections and Translations

3.7.8: The student uses geometry to model and describe the physical world.

3.7.8.B: make a net (two-dimensional model) of the surface area of a three-dimensional figure; and

Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

3.7.8.C: use geometric concepts and properties to solve problems in fields such as art and architecture.

Classifying Triangles

4: The student will demonstrate an understanding of the concepts and uses of measurement.

4.7.9: The student solves application problems involving estimation and measurement.

4.7.9.A: estimate measurements and solve application problems involving length (including perimeter and circumference) and area of polygons and other shapes;

Area of Parallelograms - Activity A
Area of Parallelograms - Activity B
Circle: Circumference and Area
Fido's Flower Bed (Perimeter and Area)
Measuring Trees
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

4.7.9.B: connect models for volume of prisms (triangular and rectangular) and cylinders to formulas of prisms (triangular and rectangular) and cylinders; and

Prisms and Cylinders - Activity A

4.7.9.C: estimate measurements and solve application problems involving volume of prisms (rectangular and triangular) and cylinders.

Prisms and Cylinders - Activity A

5: The student will demonstrate an understanding of probability and statistics.

5.7.10: The student recognizes that a physical or mathematical model (including geometric) can be used to describe the experimental and theoretical probability of real-life events.

5.7.10.A: construct sample spaces for simple or composite experiments; and

Geometric Probability - Activity A
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

5.7.10.B: find the probability of independent events.

Compound Independent Events
Compound Independent and Dependent Events
Spin the Big Wheel! (Probability)

5.7.11: The student understands that the way a set of data is displayed influences its interpretation.

5.7.11.A: select and use an appropriate representation for presenting and displaying relationships among collected data, including line plot, line graph, bar graph, stem and leaf plot, circle graph, and Venn diagrams, and justify the selection; and

Describing Data Using Statistics
Distance-Time Graphs
Elevator Operator (Line Graphs)
Graphing Skills
Line Plots
Mean, Median and Mode
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

5.7.11.B: make inferences and convincing arguments based on an analysis of given or collected data.

Reaction Time 2 (Graphs and Statistics)

5.7.12: The student uses measures of central tendency and variability to describe a set of data.

5.7.12.A: describe a set of data using mean, median, mode, and range; and

Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.7.12.B: choose among mean, median, mode, or range to describe a set of data and justify the choice for a particular situation.

Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

6: These skills will not be listed under a separate recording category. Instead, they will be incorporated into at least 75% of the test questions in reporting categories 1?5 and will be identified along with content standards.

6.7.13: The student applies Grade 7 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school.

6.7.13.A: identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics;

Estimating Population Size

6.7.13.C: select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem; and

Estimating Population Size

6.7.14: The student communicates about Grade 7 mathematics through informal and mathematical language, representations, and models.

6.7.14.A: communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models.

Elevator Operator (Line Graphs)