Educaching and Common Core Mathematics
Problem solving is at the root of Educaching! The curriculum incorporates mathematical reasoning, constructing, modeling, reasoning, and using tools strategically. Students must attend to precision in their mathematics, otherwise they cannot find what it is they’re looking for! And Educaching provides the student engagement and motivation necessary to navigate the waters of the common core. The Educaching curriculum can act as an incredible support beam for teachers. Here is an overview of the domains in grades 4-8 that Educaching specifically undergirds:
Grade 4:
Operations and Algebraic Thinking
- Use the four operations with whole numbers to solve problems.
Number and Operations in Base Ten
- Generalize place value understanding for multi-digit whole numbers.
- Use place value understanding and properties of operations to perform multi-digit arithmetic.
Measurement and Data
- Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
- Represent and interpret data.
- Geometric measurement: understand concepts of angle and measure angles.
Geometry
- Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
Mathematical Practices
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning. Operations and Algebraic Thinking (4.OA)
Grade 5
Operations and Algebraic Thinking
- Write and interpret numerical expressions.
- Analyze patterns and relationships.
Number and Operations in Base Ten
- Perform operations with multi-digit whole numbers and with decimals to hundredths.
Measurement and Data
- Convert like measurement units within a given measurement system.
- Represent and interpret data.
- Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Geometry
- Graph points on the coordinate plane to solve real-world and mathematical problems.
- Classify two-dimensional figures into categories based on their properties.
Mathematical Practices
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Grade 6
The Number System
- Multiply and divide multi-digit numbers and find common factors and multiples.
- Apply and extend previous understandings of numbers to the system of rational numbers
Geometry
- Solve real-world and mathematical problems involving area, surface area, and volume.
Statistics and Probability
- Develop understanding of statistical variability.
- Summarize and describe distributions.
Mathematical Practices
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Grade 7
Ratios and Proportional Relationships
- Analyze proportional relationships and use them to solve real-world and mathematical problems.
Expressions and Equations
- Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Geometry
- Draw, construct and describe geometrical figures and describe the relationships between them.
- Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Mathematical Practices
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Grade 8
Geometry
- Understand congruence and similarity using physical models, transparencies, or geometry software.
- Understand and apply the Pythagorean Theorem.
- Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.
Mathematical Practices
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
