#### WA20.1: Expand and apply understanding of the preservation of equality including solving problems that involve the manipulation and application of formulae for volume and capacity, surface area, slope and rate of change, simple interest, and finance charges.

WA20.1.e: Analyze solutions to questions that involve formulae to verify the preservation of equality, correct if necessary, and explain the reasoning.

#### WA20.2: Demonstrate the ability to analyze puzzles and games that involve numerical reasoning and problem solving strategies.

WA20.2.a: Determine, explain, and verify strategies to solve a puzzle or to win a game such as:

WA20.2.a.4: draw or model

#### WA20.3: Extend and apply understanding of surface area, volume, and capacity using concrete and pictorial models and symbolic representations (SI or imperial units of measurement).

WA20.3.a: Observe, analyze, generalize, and explain using examples including nets, the relationships between area, surface area, and volume.

WA20.3.g: Solve situational questions that involve:

WA20.3.g.1: the volume of 3-D objects and composite 3-D objects in a variety of contexts

WA20.3.i: Determine the surface area and volume of prisms, cones, cylinders, pyramids, spheres, and composite 3-D objects, using a variety of measuring tools such as rulers, tape measures, callipers, and micrometers and explain the strategy used including the manipulation of formulae.

WA20.3.l: Analyze and illustrate, using examples, the effect of dimensional changes on area, surface area, and volume.

WA20.3.m: Solve using a variety of strategies, including the manipulation of formulae, situational questions that involve:

WA20.3.m.1: the surface area of 3-D objects, including spheres

WA20.3.m.2: the volume of 3-D objects, including composite 3-D objects

#### WA20.4: Solve problems that involve at least two right triangles.

WA20.4.a: Analyze and sort a set of illustrations of triangles in a given context according to whether they are right triangles or not, and justify the sort.

WA20.4.d: Apply personal strategies including the primary trigonometric ratios to solve situational questions that involve:

WA20.4.d.1: angles of elevation or angles of depression, and explain the reasoning

WA20.4.d.2: more than two right triangles and explain the reasoning.

#### WA20.5: Extend and apply understanding of 3-D objects including: top, bottom, and side views, exploded views, component parts, scale diagrams.

WA20.5.a: Describe and sketch or draw, with or without technology, using a variety of strategies including the use of isometric paper:

WA20.5.a.5: 2-D representations of 3-D objects, given their exploded view.

WA20.5.b: Draw to scale:

WA20.5.b.1: top, front, and side views of given actual 3-D objects

#### WA20.7: Demonstrate understanding of compound interest.

WA20.7.a: Solve situational questions that involve simple interest, given three of the four values in the formula I=Prt and explain the reasoning.

WA20.7.b: Analyze and generalize the relationship between simple interest and compound interest.

WA20.7.c: Solve, using a formula, situational questions that involve compound interest.

WA20.7.d: Explain, using examples, the effect of changing different factors on compound interest such as different compounding periods, different interest rates, and starting at a younger age.

#### WA20.8: Demonstrate understanding of financial institution services used to access and manage personal finances, including credit options.

WA20.8.h: Describe strategies to use credit effectively, such as negotiating interest rates, planning payment timelines, reducing accumulated debt, and timing purchases.

#### WA20.9: Demonstrate concretely, pictorially, and symbolically (with and without the use of technology) an understanding of slope with respect to: rise over run, rate of change, solving problems.

WA20.9.a: Research and present contexts that involve slope including the mathematics involved (e.g., ramps, roofs, road grade, flow rates within a tube, skateboard parks, ski hills).

WA20.9.c: Describe conditions under which a slope will be either 0 or undefined and explain the reasoning.

WA20.9.d: Critique the statement, ?It requires less effort to independently use a wheelchair to climb a ramp of a certain height that has a slope of 1:12 rather than a slope of 1:18."

WA20.9.e: Justify, using examples and illustrations:

WA20.9.e.1: slope as rise over run

WA20.9.e.2: slope as rate of change.

WA20.9.f: Analyze slopes of objects, such as ramps or roofs, to determine if the slope is constant and explain the reasoning.

#### WA20.10: Extend and apply proportional thinking to solve problems that involve unit analysis and scale.

WA20.10.e: Describe, using examples, contexts in which scale representations are used.

WA20.10.h: Draw, with or without technology, a scale diagram of 3-D objects.

#### WA20.11: Extend and apply understanding of representing data using graphs including: bar graphs, histograms, line graphs, circle graphs.

WA20.11.a: Pose questions that could be answered using histograms, construct the histogram, and draw conclusions.

WA20.11.c: Analyze sets of data in a variety of contexts to determine and create, with or without technology, possible graphs that could be used to represent the data and explain the advantages and disadvantages of each graph.

WA20.11.e: Analyze graphs including bar graphs, histograms, line graphs, and circle graphs to determine and describe trends.

WA20.11.f: Explain, using examples:

WA20.11.f.2: how different graphic representations of the same data set can be used to emphasize a point of view

Correlation last revised: 9/16/2020

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.