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Title | Content Domain | Grade Level | Mathematical Practice Standards |
---|---|---|---|
Choosing Samples | Statistics and Probability |
Grade 6 Grade 7 |
MP 1: Make sense of problems and persevere in solving them. MP 3: Construct viable arguments and critique the reasoning of others. MP 6: Attend to precision. |
Making Sense of Unusual Results |
Expressions and Equations The Number System |
Grade 6 Grade 7 Grade 8 |
MP 1: Make sense of problems and persevere in solving them. MP 7: Look for and make use of structure. MP 8: Look for and express regularity in repeated reasoning. |
Modeling Problem—Biking Home | Modeling with Geometry | High School |
MP 1: Make sense of problems and persevere in solving them. MP 4: Model with mathematics. MP 8: Look for and express regularity in repeated reasoning. |
Factoring a Degree Six Polynomial | Seeing Structure in Expressions | High School |
MP 3: Construct viable arguments and critique the reasoning of others. MP 7: Look for and make use of structure. |
Dividing Fractions—Servings of Yogurt |
Number and Operations - Fractions The Number System |
Grade 6 |
MP 1: Make sense of problems and persevere in solving them. MP 7: Look for and make use of structure. MP 8: Look for and express regularity in repeated reasoning. |
Absolute Value of Reasoning |
Expressions and Equations The Number System |
Grade 6 Grade 7 |
MP 2: Reason abstractly and quantitatively. MP 3: Construct viable arguments and critique the reasoning of others. MP 5: Use appropriate tools strategically. MP 7: Look for and make use of structure. |
Making Sense of a Quadratic Function | Interpreting Functions | High School |
MP 1: Make sense of problems and persevere in solving them. MP 2: Reason abstractly and quantitatively. MP 5: Use appropriate tools strategically. MP 7: Look for and make use of structure. |
Multiplying Two Fractions | Number and Operations - Fractions | Grade 5 |
MP 1: Make sense of problems and persevere in solving them. MP 3: Construct viable arguments and critique the reasoning of others. MP 5: Use appropriate tools strategically. MP 7: Look for and make use of structure. |
Consecutive Sums |
Expressions and Equations The Number System |
Grade 6 Grade 7 |
MP 1: Make sense of problems and persevere in solving them. MP 7: Look for and make use of structure. MP 8: Look for and express regularity in repeated reasoning. |
Comparing Fractions |
Number and Operations - Fractions The Number System |
Grade 4 Grade 5 Grade 6 |
MP 2: Reason abstractly and quantitatively. MP 3: Construct viable arguments and critique the reasoning of others. MP 5: Use appropriate tools strategically. MP 7: Look for and make use of structure. |
Anita’s Way to Add Fractions with Unlike Denominators |
Ratios and Proportional Relationships The Number System |
Grade 5 Grade 6 |
MP 1: Make sense of problems and persevere in solving them. MP 2: Reason abstractly and quantitatively. MP 3: Construct viable arguments and critique the reasoning of others. MP 5: Use appropriate tools strategically. MP 7: Look for and make use of structure. |
Isosceles Triangles on a Geoboard | Geometry |
Grade 6 Grade 7 |
MP 1: Make sense of problems and persevere in solving them. MP 5: Use appropriate tools strategically. MP 7: Look for and make use of structure. |
Interpreting Statistical Measures—Class Scores | Interpreting Categorical and Quantitative Data | High School |
MP 1: Make sense of problems and persevere in solving them. MP 3: Construct viable arguments and critique the reasoning of others. MP 4: Model with mathematics. MP 5: Use appropriate tools strategically. |
Creating a Polynomial Function to Fit a Table |
Arithmetic with Polynomial and Rational Expressions Building Functions Interpreting Functions |
High School |
MP 1: Make sense of problems and persevere in solving them. MP 5: Use appropriate tools strategically. MP 7: Look for and make use of structure. |
Distance, Rate, and Time—Walking Home |
Creating Equations Expressions and Equations |
Grade 8 High School |
MP 1: Make sense of problems and persevere in solving them. MP 2: Reason abstractly and quantitatively. MP 4: Model with mathematics. MP 8: Look for and express regularity in repeated reasoning. |
Creating Data Sets from Statistical Measures | Statistics and Probability |
Grade 6 Grade 7 |
MP 1: Make sense of problems and persevere in solving them. MP 6: Attend to precision. MP 7: Look for and make use of structure. |
Solving Problems by Creating Expressions—Dollar Bills | Expressions and Equations |
Grade 6 Grade 7 |
MP 2: Reason abstractly and quantitatively. MP 6: Attend to precision. MP 8: Look for and express regularity in repeated reasoning. |
Word Problem with Rational Numbers—Balancing Bars of Soap | Number and Operations - Fractions |
Grade 4 Grade 5 |
MP 1: Make sense of problems and persevere in solving them. MP 2: Reason abstractly and quantitatively. MP 3: Construct viable arguments and critique the reasoning of others. MP 5: Use appropriate tools strategically. |
Writing Numerical Expressions—Hexagon Tables |
Expressions and Equations Operations and Algebraic Thinking |
Grade 5 Grade 6 Grade 7 |
MP 2: Reason abstractly and quantitatively. MP 3: Construct viable arguments and critique the reasoning of others. MP 4: Model with mathematics. MP 7: Look for and make use of structure. MP 8: Look for and express regularity in repeated reasoning. |
Integer Combinations—Postage Stamps Problem (HS Version) |
Functions Seeing Structure in Expressions |
Grade 8 High School |
MP 1: Make sense of problems and persevere in solving them. MP 2: Reason abstractly and quantitatively. MP 3: Construct viable arguments and critique the reasoning of others. MP 4: Model with mathematics. MP 8: Look for and express regularity in repeated reasoning. |
Rectangles with the Same Numerical Area and Perimeter | Creating Equations |
Grade 8 High School |
MP 1: Make sense of problems and persevere in solving them. MP 2: Reason abstractly and quantitatively. MP 7: Look for and make use of structure. MP 8: Look for and express regularity in repeated reasoning. |
Integer Combinations—Postage Stamps Problem (MS Version) |
Expressions and Equations Operations and Algebraic Thinking |
Grade 4 Grade 5 Grade 6 Grade 7 |
MP 1: Make sense of problems and persevere in solving them. MP 3: Construct viable arguments and critique the reasoning of others. MP 8: Look for and express regularity in repeated reasoning. |
Similar Triangles |
Geometry Similarity, Right Triangles, and Trigonometry |
Grade 8 High School |
MP 1: Make sense of problems and persevere in solving them. MP 5: Use appropriate tools strategically. MP 6: Attend to precision. MP 7: Look for and make use of structure. |
Writing Functions—The Carnation Problem | Functions |
Grade 7 Grade 8 |
MP 1: Make sense of problems and persevere in solving them. MP 8: Look for and express regularity in repeated reasoning. |
Sum of Rational and Irrational Is Irrational | The Real Number System |
Grade 8 High School |
MP 3: Construct viable arguments and critique the reasoning of others. MP 7: Look for and make use of structure. MP 8: Look for and express regularity in repeated reasoning. |
Rational Exponents | The Real Number System |
Grade 8 High School |
MP 1: Make sense of problems and persevere in solving them. MP 7: Look for and make use of structure. |
Proof with Parallelogram Vertices | Congruence | High School |
MP 1: Make sense of problems and persevere in solving them. MP 3: Construct viable arguments and critique the reasoning of others. MP 6: Attend to precision. |
Finding Triangle Vertices | Geometry |
Grade 6 Grade 7 |
MP 1: Make sense of problems and persevere in solving them. MP 6: Attend to precision. MP 8: Look for and express regularity in repeated reasoning. |
Finding Parallelogram Vertices | Geometry |
Grade 5 Grade 6 Grade 7 |
MP 1: Make sense of problems and persevere in solving them. MP 3: Construct viable arguments and critique the reasoning of others. MP 5: Use appropriate tools strategically. MP 7: Look for and make use of structure. |
Extending Patterns with Exponents | Expressions and Equations |
Grade 8 High School |
MP 1: Make sense of problems and persevere in solving them. MP 3: Construct viable arguments and critique the reasoning of others. MP 6: Attend to precision. MP 7: Look for and make use of structure. |
Adding Fractions with Unlike Denominators | Number and Operations - Fractions |
Grade 4 Grade 5 |
MP 1: Make sense of problems and persevere in solving them. MP 2: Reason abstractly and quantitatively. MP 3: Construct viable arguments and critique the reasoning of others. MP 6: Attend to precision. |