Shared Gizmo List: grade 9 Academic Mathematics

Mary Ward Catholic High School : Grade 9 Academic Mathematics
9th Grade Math

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Shared by a high school math teacher in Ontario.

Unit 1 : MAINTAINING SKILLS

Order of Operations Select and evaluate the operations in an expression following the correct order of operations.
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Adding and Subtracting Integers with Chips Use chips to model addition and subtraction of positives and negatives. Explore the effect of zero pairs. See how to use zero pairs to help special cases of addition and subtraction.
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Adding and Subtracting Integers Add and subtract integers on a number line using dynamic arrows.
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Integers, Opposites, and Absolute Values Compare and order integers using draggable points on a number line. Also explore opposites and absolute values on the number line.
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Unit 2 & 3 : POWERS

Multiplying Exponential Expressions Choose the correct steps to multiply exponential expressions. Use the feedback to diagnose incorrect steps.
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Dividing Exponential Expressions Choose the correct steps to divide exponential expressions. Use the feedback to diagnose incorrect steps.
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Exponents and Power Rules Choose the correct steps to simplify expressions with exponents using the rules of exponents and powers. Use feedback to diagnose incorrect steps.
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Unit 4 & 6 : ALGEBRA & POLYNOMIALS

Addition of Polynomials Add polynomials using an area model. Use step-by-step feedback to diagnose any mistakes.
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Unit 5 : EQUATIONS

Modeling and Solving Two-Step Equations Solve a two-step equation using a cup-and-counter model. Use step-by-step feedback to diagnose and correct incorrect steps.
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Using Algebraic Equations Translate equations into English sentences and translate English sentences into equations. Read the equation or sentence and select word tiles or symbol tiles to form the corresponding sentence or equation.
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Solving Formulas for any Variable Choose the correct steps to solve a formula for a given variable. Use the feedback to diagnose incorrect steps.
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Unit 7 : RELATIONS

Distance-Time Graphs Create a graph of a runner's position versus time and watch the runner complete a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the speed of the runner. What will the runner do if the slope of the line is zero? What if the slope is negative? Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs.
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Distance-Time and Velocity-Time Graphs Create a graph of a runner's position versus time and watch the runner run a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the velocity of the runner. Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. Also experiment with a graph of velocity versus time for the runners, and also distance traveled versus time.
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Unit 8 : SLOPE

Zap It! Game Adjust the values in a quadratic function, in vertex form or in polynomial form, to "zap" as many data points as possible.
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Slope Explore the slope of a line, and learn how to calculate slope. Adjust the line by moving points that are on the line, and see how its slope changes.
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Slope (Classic) Examine the graph of two points in the plane. Find the slope of the line that passes through the two points. Drag the points and investigate the changes to the slope and to the coordinates of the points.
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Direct and Inverse Variation Adjust the constant of variation and explore how the graph of the direct or inverse variation function changes in response. Compare direct variation functions to inverse variation functions.
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Unit 9 : THE LINE - 1

Linear Functions Determine if a relation is a function from the mapping diagram, ordered pairs, or graph. Use the graph to determine if it is linear.
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Points, Lines, and Equations Compare the graph of a linear function to its rule and to a table of its values. Change the function by dragging two points on the line. Examine how the rule and table change.
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Point-Slope Form of a Line Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
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Defining a Line with Two Points (Classic) Place two points wherever you like. Compute the slope of the line between them. View the equation of that line in slope-intercept and point-slope form.
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Unit 10 : THE LINE - 2

Standard Form of a Line Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
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Unit 11 : LINE OF BEST FIT

Trends in Scatter Plots Examine the scatter plot for a random data set with negative or positive correlation. Vary the correlation and explore how correlation is reflected in the scatter plot and the trend line.
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Solving Using Trend Lines Examine the scatter plots for data related to weather at different latitudes. The Gizmo includes three different data sets, one with negative correlation, one positive, and one with no correlation. Compare the least squares best-fit line.
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Unit 12 : OPTIMIZATION

Unit 13 : GEOMETRY

Investigating Angle Theorems Explore the properties of complementary, supplementary, vertical, and adjacent angles using a dynamic figure.
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Classifying Triangles Place constraints on a triangle and determine what classifications must apply to the triangle.
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Triangle Angle Sum Measure the interior angles of a triangle and find the sum. Examine whether that sum is the same for all triangles. Also, discover how the measure of an exterior angle relates to the interior angle measures.
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Polygon Angle Sum Derive the sum of the angles of a polygon by dividing the polygon into triangles and summing their angles. Vary the number of sides and determine how the sum of the angles changes. Dilate the polygon to see that the sum is unchanged.
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Unit 14 : MEASUREMENT

Classifying Quadrilaterals Apply constraints to a quadrilateral, and then reshape and resize it. Classify the figure by its constraints. Explore the differences between the different kinds of quadrilaterals.
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Perimeter and Area of Rectangles Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle).
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Area of Parallelograms Examine and manipulate a parallelogram and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation.
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Prisms and Cylinders Vary the height and base-edge or radius length of a prism or cylinder and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of an oblique prism or cylinder to the volume of a right prism or cylinder.
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Pyramids and Cones Vary the height and base-edge or radius length of a pyramid or cone and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of a skew pyramid or cone to the volume of a right pyramid or cone.
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Surface and Lateral Areas of Prisms and Cylinders Vary the dimensions of a prism or cylinder and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid.
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