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On this page...
- Counting & Cardinality
- Number & Operations in Base 10
- Number & Operations - Fractions
- Ratios & Proportional Relationships
- The Number System
- Number & Quantity
- Operations & Algebraic Thinking
- Expressions & Equations
- Functions
- Algebra
- Measurement & Data
- Statistics & Probability
- Geometry
Counting & Cardinality
Kindergarten
Number & Operations in Base 10
Kindergarten
NAEP - Grade 3 Tasks - Number & Operations in Base 10
SBAC - Grade 3 Sample Items - Sample items begin on page 4.
NAEP - Grade 4 Tasks - Number & Operations in Base 10
PARCC
SBAC - Grade 4 Sample Items - Sample items begin on page 4.
NAEP - Grade 5 Tasks - Number & Operations in Base 10
SBAC - Grade 5 Sample Items - Sample items begins on page 4.
Number & Operations - Fractions
NAEP - Grade 3 Tasks - Number & Operations - Fractions
PARCC
SBAC - Grade 3 Sample Items - Sample items begin on page 4.
NAEP - Grade 4 Tasks - Number & Operations - Fractions
PARCC
SBAC - Grade 4 Sample Items - Sample items begin on page 4.
NAEP - Grade 5 Tasks - Number & Operations - Fractions
SBAC - Grade 5 Sample Items - Sample items begins on page 4.
Ratios & Proportional Relationships
NAEP - Grade 6 Tasks - Ratios & Proportional Relationships
PARCC
Ratios and Proportional Relationships
SBAC - Grade 6 Sample Items - Sample items begin on page 4.
Shading Areas of Grids
Building Percent Dolls: Connecting Linear Measurement to Learning Ratio and Proportion
Increasing and Decreasing by Percents
NAEP - Grade 7 Tasks - Ratios & Proportional Relationships
PARCC
Shading Areas of Grids Lesson Guide
SBAC - Grade 7 Sample Items - Sample items begin on page 4.
Using School Lunch to Study Proportion
The Number System
NAEP - Grade 6 Tasks - The Number System
SBAC - Grade 6 Sample Items - Sample items begin on page 4.
NAEP - Grade 8 Tasks - The Number System
SBAC - Grade 8 Sample Items - Sample items begin on page 4.
Number & Quantity
- N-RN = The Real Number System
- N-Q = Quantities
- N-CN = The Complex Number System
- N-VM = Vector and Matrix Quantities
N-Q
Quantities
Check That Digit
Resources for Teaching the Iowa Core Additional Standards in High School Mathematics
Sets, Logic, and Internet Searches
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
Operations & Algebraic Thinking
NAEP - Grade 3 Tasks - Operations & Algebraic Thinking
SBAC - Grade 3 Sample Items - Sample items begin on page 4.
NAEP - Grade 4 Tasks - Operations & Algebraic Thinking
PARCC
SBAC - Grade 4 Sample Items - Sample items begin on page 4.
NAEP - Grade 5 Tasks - Operations & Algebraic Thinking
SBAC - Grade 5 Sample Items - Sample items begins on page 4.
Expressions & Equations
NAEP - Grade 6 Tasks - Expressions & Equations
PARCC
SBAC - Grade 6 Sample Items - Sample items begin on page 4.
Shading Areas of Grids
NAEP - Grade 7 Tasks - Expressions & Equations
PARCC
Shading Areas of Grids Lesson Guide
SBAC - Grade 7 Sample Items - Sample items begin on page 4.
Functions
Meaningful Distributed Practice Planning: Graphing Linear Equations & Solving Linear Systems
Medicine Dosage
- Medicine Dosage Task
Medicine Dosage Task Spreadsheet Showing Different Recursive Models- Explanation of Two Recursive Models for Medicine Dosage Task
Interpreting Distance-Time Graphs
Modeling Situations with Linear Equations
NAEP - Grade 8 Tasks - Functions
SBAC - Grade 8 Sample Items - Sample items begin on page 4.
Solving Linear Equations
- Solving Linear Equations: Teacher and PD Notes
- Solving Linear Equations: Student Version
- Solving Linear Equations: Teacher Version
Text Messaging Problem: An Application of Systems of Linear Equations
- F-IF = Interpreting Functions
- F-BF = Building Functions
- F-LE = Linear, Quadratic, and Exponential Model
- F-TF = Trigonometric Functions
NAEP - Grades 9-12 Tasks - Functions
F-IF
Interpreting Functions
Analyzing the Functions Recommendations in the Mathematics Iowa Core
A Connected and Coherent Approach to Teaching Algebra: A Functions Approach to Teaching Algebra
Meaningful Distributed Practice Planning: Graphing Linear Equations & Solving Linear System
Medicine Dosage
- Medicine Dosage Task
- Medicine Dosage Task Spreadsheet Showing Different Recursive Models
- Explanation of Two Recursive Models for Medicine Dosage Task
Solving Linear Equations
- Solving Linear Equations: Teacher and PD Notes
- Solving Linear Equations: Student Version
- Solving Linear Equations: Teacher Version
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
Text Messaging Problem: An Application of Systems of Linear Equations
Text Messaging
F-BF
Building Functions
Analyzing the Functions Recommendations in the Mathematics Iowa Core
A Connected and Coherent Approach to Teaching Algebra: A Functions Approach to Teaching Algebra
Medicine Dosage
- Medicine Dosage Task
- Medicine Dosage Task Spreadsheet Showing Different Recursive Models
- Explanation of Two Recursive Models for Medicine Dosage Task
PARCC
Skydiving Math
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
Text Messaging Problem: An Application of Systems of Linear Equations
Text Messaging
F-LE
Linear, Quadratic, and Exponential Model
Analyzing the Functions Recommendations in the Mathematics Iowa Core
Logarithms
- Logarithms: Examples of Gentle Gradual Development Through Meaningful Distributed Practice
- Meaningful Distributed Practice-Concept: Exponents and Logarithms
- Graphic Logs: Quake Story
Meaningful Distributed Practice Planning: Graphing Linear Equations & Solving Linear System
Medicine Dosage
- Medicine Dosage Task
- Medicine Dosage Task Spreadsheet Showing Different Recursive Models
- Explanation of Two Recursive Models for Medicine Dosage Task
PARCC
Skydiving Math
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
Solving Linear Equations
- Solving Linear Equations: Teacher and PD Notes
- Solving Linear Equations: Student Version
- Solving Linear Equations: Teacher Version
Text Messaging Problem: An Application of Systems of Linear Equations
F-TF
Trigonometric Functions
Analyzing the Functions Recommendations in the Mathematics Iowa Core
Ferris Wheel
- Riding a Ferris Wheel and Transforming Functions: Student Handout
- Riding a Ferris Wheel and Transforming Functions: Lesson Plan
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
Algebra
- A-SSE = Seeing Structure in Expressions
- A-APR = Arithmetic with Polynomials & Rational Expressions
- A-CED = Creating Equations
- A-REI = Reasoning with Equations & Inequalities
NAEP - Grades 9-12 Tasks - Algebra
A-SSE
Seeing Structure in Expressions
Factoring, Quadratics
- Reflections on Factoring: The Process of Factoring, Factored Form, and Prime Quadratics
- How Many Quadratic Factor?
- Mystery Quadratic
- Which Quadratics to Factor?
- Solving, Graphing, and Factoring Quadratics
- Solving, Graphing, and Factoring Quadratics: Teacher and PD Notes
- Analyzing the Quadratic Formula
- Factoring and Solving Quadratics: A Cluster of Related Tasks - PD Notes
Ferris Wheel
- Riding a Ferris Wheel and Transforming Functions: Student Handout
- Riding a Ferris Wheel and Transforming Functions: Lesson Plan
Logarithms
- Logarithms: Examples of Gentle Gradual Development Through Meaningful Distributed Practice
- Meaningful Distributed Practice-Concept: Exponents and Logarithms
- Graphic Logs: Quake Story
Medicine Dosage
- Medicine Dosage Task
- Medicine Dosage Task Spreadsheet Showing Different Recursive Models
- Explanation of Two Recursive Models for Medicine Dosage Task
Profit from CDs (Seeing Structure in Expressions)
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
Solving Linear Equations
- Solving Linear Equations: Teacher and PD Notes
- Solving Linear Equations: Student Version
- Solving Linear Equations: Teacher Version
Text Messaging Problem: An Application of Systems of Linear Equations
A-APR
Arithmetic with Polynomials & Rational Expressions
Factoring, Quadratics
- Reflections on Factoring: The Process of Factoring, Factored Form, and Prime Quadratics
- How Many Quadratic Factor?
- Mystery Quadratic
- Which Quadratics to Factor?
- Solving, Graphing, and Factoring Quadratics
- Solving, Graphing, and Factoring Quadratics: Teacher and PD Notes
- Analyzing the Quadratic Formula
- Factoring and Solving Quadratics: A Cluster of Related Tasks - PD Notes
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
A-CED
Creating Equations
Factoring Quadratics
- Reflections on Factoring: The Process of Factoring, Factored Form, and Prime Quadratics
- How Many Quadratic Factor?
- Mystery Quadratic
- Which Quadratics to Factor?
- Solving, Graphing, and Factoring Quadratics
- Solving, Graphing, and Factoring Quadratics: Teacher and PD Notes
- Analyzing the Quadratic Formula
- Factoring and Solving Quadratics: A Cluster of Related Tasks - PD Notes
Skydiving Math
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
Text Messaging
A-REI
Reasoning with Equations & Inequalities
Reasoning with Equations & Inequalities
Meaningful Distributed Practice Planning: Graphing Linear Equations & Solving Linear System
Medicine Dosage
- Medicine Dosage Task
- Medicine Dosage Task Spreadsheet Showing Different Recursive Models
- Explanation of Two Recursive Models for Medicine Dosage Task
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
Solving Linear Equations
- Solving Linear Equations: Teacher and PD Notes
- Solving Linear Equations: Student Version
- Solving Linear Equations: Teacher Version
Solving Linear Equations - Multiple Methods and Representations
Text Messaging Problem: An Application of Systems of Linear Equations
Text Messaging
Measurement & Data
NAEP - Grade 3 Tasks - Measurement & Data
SBAC - Grade 3 Sample Items - Sample items begin on page 4.
NAEP - Grade 4 Tasks - Measurement & Data
SBAC - Grade 4 Sample Items - Sample items begin on page 4.
NAEP - Grade 5 Tasks - Measurement & Data
SBAC - Grade 5 Sample Items - Sample items begins on page 4.
Statistics & Probability
NAEP - Grade 6 Tasks - Statistics & Probability
SBAC - Grade 6 Sample Items - Sample items begin on page 4.
NAEP - Grade 7 Tasks - Statistics & Probability
SBAC - Grade 7 Sample Items - Sample items begin on page 4.
NAEP - Grade 8 Tasks - Statistics & Probability
SBAC - Grade 8 Sample Items - Sample items begin on page 4.
- S-ID = Interpreting Categorical and Quantitative Data
- S-IC = Making Inferences and Justifying Conclusions
- S-CP = Conditional Probability and the Rules of Probability
- S-MD = Using Probability to Make Decisions
NAEP - Grades 9-12 Tasks - Statistics & Probability
S-ID
Interpreting Categorical and Quantitative Data
Devising a Measure for Correlation
Projects for Assessment in Gen. Ed. Statistics
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
S-IC
Making Inferences and Justifying Conclusions
Candy Quality Control
Projects for Assessment in Gen. Ed. Statistics
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
S-CP
Conditional Probability and the Rules of Probability
Permutations, Combinations, and RNA
Projects for Assessment in Gen. Ed. Statistics
Sets, Logic, and Internet Searches
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
Geometry
NAEP - Grade 3 Tasks - Geometry
PARCC
Reflections on Practice: Perimeter and Area Through the Van Hiele Model - (document available to NCTM members only)
SBAC - Grade 3 Sample Items - Sample items begin on page 4.
NAEP - Grade 5 Tasks - Geometry
SBAC - Grade 5 Sample Items - Sample items begins on page 4.
NAEP - Grade 6 Tasks - Geometry
SBAC - Grade 6 Sample Items - Sample items begin on page 4.
Estimations and Approximations: The Money Munchers
Maximizing Area: Golden Rectangles
NAEP - Grade 7 Tasks - Geometry
PBIT: Magnifying and Shrinking
Reflections on Practice: Perimeter and Area Through the Van Hiele Model - (document available to NCTM members only)
SBAC - Grade 7 Sample Items - Sample items begin on page 4.
NAEP - Grade 8 Tasks - Geometry
Proofs Of The Pythagorean Theorem?
SBAC - Grade 8 Sample Items - Sample items begin on page 4.
- G-CO = Congruence
- G-SRT = Similarity, Right Triangles, and Trigonometry
- G-C = Circles
- G-GPE = Expressing Geometric Properties with Equations
- G-GMD = Geometric Measurement and Dimension
- G-MG = Modeling with Geometry
NAEP - Grades 9-12 Tasks - Geometry
G-CO
Congruence
Proof with Multiple Representaions (Fido Problem)
- Fido Proof Problem
Proof: Meaningful and as a Problem-Based Instructional Task- Fido Sketch (.gsp file)
NAEP - Grades 9-12 Tasks - Geometry
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
Solving Geometry Problems: Floodlights
G-SRT
Similarity, Right Triangles, and Trigonometry
NAEP - Grades 9-12 Tasks - Geometry
Proof with Multiple Representaions (Fido Problem)
- Fido Proof Problem
- Proof: Meaningful and as a Problem-Based Instructional Task
- Fido Sketch (.gsp file)
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
Solving Geometry Problems: Floodlights
G-C
Circles
NAEP - Grades 9-12 Tasks - Geometry
Proof with Multiple Representaions (Fido Problem)
- Fido Proof Problem
- Proof: Meaningful and as a Problem-Based Instructional Task
- Fido Sketch (.gsp file)
G-GMD
Geometric Measurement and Dimension
NAEP - Grades 9-12 Tasks - Geometry
Resources for Teaching the Iowa Core Additional Standards in High School Mathematics
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.
G-MG
Modeling with Geometry
Reflections on Practice: Perimeter and Area Through the Van Hiele Model - (document available to NCTM members only)
Resources for Teaching the Iowa Core Additional Standards in High School Mathematics
SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.