| 2.5 Select and Communicate Appropriate Problem
Solving Strategies |
2.5 Grade 3
(Select and Communicate Strategies) |
2.5 Grade 5
(Select and Communicate Strategies) |
2.5 Grade 8
(Select and Communicate Strategies) |
2.5 Grade 11
(Select and Communicate Strategies) |
| A. Problem solving strategies |
A1. Use appropriate problem solving strategies such as guess
and check and working backwards. |
A1. Develop a plan to analyze a problem, identify the information
needed to solve the problem, carry out the plan, check whether an answer
makes sense and explain how the problem was solved. |
A1. Invent, select, use, and justify the appropriate methods,
materials, and strategies used to solve problems. |
A1. Select and use appropriate mathematical concepts and techniques
from different areas of mathematics and apply them to solving non-routine
and multi-step problems. |
|
A2. Determine when sufficient information is present to solve
a problem and explain how to solve a problem. |
A2. Show ideas in a variety of ways, including words, numbers,
symbols, pictures, charts, graphs, tables, diagrams, and models. |
A2. Verify and interpret results using precise mathematical
language, notation, and representations, including numerical tables and
equations, simple algebraic equations and formulas, charts, graphs, and
diagrams. |
A2. Use symbols, mathematical terminology, standard notation,
mathematical rules, graphing and other types of mathematical representations
to communicate observations, predictions, concepts, procedures, generalizations,
ideas, and results. |
|
A3. Select and use an appropriate method, materials, and strategy
to solve problems, including mental mathematics, paper and pencil, and
concrete objects. |
A3. Use appropriate problem solving strategies such as solving
a simpler problem or drawing a picture or diagram. |
A3. Justify strategies and defend approaches used and conclusions
reached. |
A3. Present mathematical procedures and results clearly, systematically,
succinctly, and correctly. |
|
A4. Distinguish between relevant and irrelevant information
in a mathematical problem. |
A4. Distinguish between relevant and irrelevant information
in a mathematical problem. |
A4. Determine pertinent information in problem situations, and
whether any further information is needed for solution. |
A4. Conclude a solution process with a summary of results and
evaluate the degree to which the results obtained represent an acceptable
response to the initial problem and why the reasoning is valid. |
|
|
A5. Explain solutions to problems clearly and logically, supporting
solutions with evidence in both oral and written work. |
|
|
| B. Representing problems in various ways |
B1. Describe the inverse relationship between addition and subtraction. |
B1. Show ideas in a variety of ways, including words, numbers,
symbols, pictures, charts, graphs, tables, diagrams, and models. |
|
|
|
|
B2. Demonstrate that mathematical operations can represent a
variety of problem situations. |
|
|
|
|
B3. Make a tree diagram and list the elements in the sample
space. |
|
|
| C. Interpreting results |
C1. Explain the meaning of solutions and symbols. |
C1. Use appropriate mathematical terms, vocabulary, language
symbols and graphs to clearly and logically explain solutions to problems. |
|
|
|
|
C2. Select, use, and justify the methods, materials, and strategies
used to solve problems. |
|
|
|
|
C3. Construct and defend simple conclusions based on data. |
|
|
|
|
C4. Describe in words how geometric shapes are constructed. |
|
|
|
|
C5. Describe the relationship between the perimeter and area
of triangles, quadrilaterals, and circles. |
|
|
|
|
C6. Define the basic properties of squares, pyramids, parallelograms,
quadrilaterals, trapezoids, polygons, rectangles, rhombi, circles, triangles,
cubes, prisms, spheres, and cylinders. |
|
|