### Angles

### Polygons

### Coordinate Plane

Explore the x and y coordinates of a point. Discover the meaning of a changing coordinate pair. Locate a point in Quadrant I of a coordinate grid given an ordered pair; name the ordered pair for a point in Quadrant I of a coordinate grid.

Position a point horizontally and vertically on the coordinate plane in this activity.

Locate a point in Quadrant I of a coordinate grid given an ordered pair; name the ordered pair for a point in Quadrant I of a coordinate grid.

Use coordinates in all four quadrants to locate the treasure in this activity. Locate points in all quadrants of the coordinate plane using ordered pairs in number and word problems.

Describe a path between two stop signs on a city map with horizontal and vertical directions to get a bus to a destination. Use a coordinate grid to solve number and word problems. Describe the path between given points on the plane.

### Straight Line Graphs

Compare the equations and graphs of lines after vertical shifts in this activity. Write the equation of and graph linear relationships given the slope and y-intercept.

Explore the relationship between tables, graphs, and algebraic equations in this activity. Use ordered pairs derived from tables, algebraic rules, or verbal descriptions to graph linear functions.

Explore the changes in the graphs and equations of lines after horizontal and vertical shifts. Write the equation of and graph linear relationships given the slope and one point on the line.

Write the equation of a line given a description with its slope and y-intercept. Write the equation of and graph linear relationships given the slope and y-intercept.

Graph a line on the coordinate plane given an equation. Write the equation of and graph linear relationships given the slope and y-intercept.

Drag points A and B so the line matches the equation.

Write the equation of a line using two points in this activity. Write the equation of and graph linear relationships given two points on the line.

The SLOPE of a line is a number that tells us how steep the line is.

Move the** 2 ****BLUE POINTS** anywhere on the screen and make note of the displayed slope.Â Â

See if you can figure out how the slope of a line is calculated just by looking at it.Â Â

**There are four types of slope:Â Positive, Negative, Zero, and Undefined.Â Â **

Think of these questions:

- Â Â Â What causes a line to have POSITIVE slope?Â Explain as best as you can.Â Â
- Â Â Â What causes a line to have NEGATIVE slope?Â Explain as best as you can.
- Â Â Â What causes a line to have ZERO slope?Â Explain as best as you can.Â Â
- Â Â Â What causes the slope of a line to be UNDEFINED?Â Explain as best as you can

### Ratios

Explore unit rates using this interactive visual model. Calculate unit rates in number and word problems, including comparison of unit rates.

Explore ratios and ratio statements to compare quantities of cupcakes and brownies. Use reasoning with equivalent ratios to solve number and word problems.

Discover proportional number patterns by aligning number lines. Watch points bounce off a number line if you get the wrong answer. Describe the relationship between corresponding terms in two or more numerical patterns or tables of ratios.

Analyze the rate of change between any two points on a line. Compare coordinates, slope triangles, and rate of change equations. Determine the ratio or rate of change of a relation given a table or graph.

Explore the relationship between scale factor and side lengths in this activity. Determine and use scale factors to reduce and enlarge drawings on grids to produce dilations.

### Fractions

Demonstrate proper and improper fractions as parts of the whole and as points on the number line.

Build and visualise fractions using different models.

Understand of how and where fractions exist on a number line.

Grab a prize! - Fractions on a number line.

Position the fractions on the number line.

Drag the fraction to their correct place on the number line.

Explore area models for proper and improper fractions.

A visual explanation of how an improper fraction and mixed numbers are equal.

Compare fractions by using equvalent fractions. Move the points to find the equivalent fractions.

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Estimating fractions.

Estimate the closest value.

Calculate adding and subtracting mixed fractions.

Calculate fractions of quantities.

### Basics of Algebra

Use algebraic rules to generate a tessellating pattern in this activity. Generate a set of ordered pairs using a rule which is stated in verbal, algebraic, or table form; generate a sequence given a rule in verbal or algebraic form.

Explore how a visual pattern can be described algebraically in this tessellation activity. Given a list of ordered pairs in a table or graph, identify either verbally or algebraically the rule used to generate and record the results.

Build algebraic expressions by exploring virtual models in this activity. Translate between models or verbal phrases and algebraic expressions.

### Equation

USolve two-step linear equations and inequalities and graph solutions of the inequalities on a number line.

Experiment with substituting different values into an equation. Determine whether a linear equation has one solution, infinitely many solutions, or no solution.

Describe the components of math expressions and equations in this activity. Determine and interpret the components of algebraic expressions including terms, factors, variables, coefficients, constants, and parts of powers in number and word problems.

Visualize the associative property of multiplication on algebraic expressions in this activity. Rewrite or simplify algebraic expressions including the use of the commutative, associative, and distributive properties, and inverses and identities in number and word problems.

Explore the distributive property by changing the dimensions of an area model. Observe how the dimensions are expressed in a distribution equation.Use the distributive property to represent and simplify numerical expressions.

### Absolute value

Explore the absolute value of a number along a number line. Find the distance a girl is from her home at the origin. Determine the absolute value of a number with and without models in number and word problems.

Calculate horizontal and vertical distances on the coordinate plane by visualizing a car traveling around town. Evaluate absolute value expressions to solve number and word problems, including finding horizontal and vertical distances between points and lines.

Compare positive and negative bank statements with written descriptions, inequalities, and absolute values. Contrast statements about absolute values of integers with statements about integer order.