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Mathematical Reasoning

Supplemental Topics



Mathematical Reasoning® Supplements
Mathematical Reasoning™ Supplement books reinforces grade appropriate math concepts by helping students devise strategies to solve a wide variety of math problems as they develop analytical and critical thinking skills necessary for success in higher-level mathematics. These activities encourage students to develop investigative, analytical, and explanatory skills as well as a variety of quantitative and spatial relationships that are an essential part of the foundation of mathematics. Students who successfully complete these books will see gains in vocabulary development, observational skills, and the ability to process mathematical concepts on a much higher level. The activities are arranged in six sections which address six major strands in mathematics curriculum.

These highly effective activities take students far beyond drill-and-practice by using step-by-step, discussion-based problem solving to develop a conceptual bridge between computation and the reasoning required for upper-level math. Activities and units spiral slowly, allowing students to become comfortable with concepts but also challenging them to continue building their math skills.



Mathematical Reasoning Grades 2 to 4 Supplement
Paperback, 325 pages, reproducible

• Number and Numeration - Discussion and analysis of counting, comparison, and numeration.

• Geometry - Description, classification of shapes, composition of figures, and elementary spatial sense.

• Operations - Builds on number and numeration using conceptual development of addition, multiplication, and subtraction. Applies these operations in problem solving.

• Measurement - Integrates number and geometry concepts using length and area.

• Relations - Uses order, number patterns, and functions to explore number relations.

• Tables and Graphs - Involves organizing, displaying, and using data in a variety of formats.



Mathematical Reasoning Grades 4 to 6 Supplement
Paperback, 325 pages, reproducible

• Number and Numeration - Discussion and analysis of numeration, comparison, equivalent forms, and estimation.

• Geometry - Description, classification, and construction of polygons; composition and decomposition of figures; transformation of figures in a plane; tracing networks.

• Operations - Builds on number and numeration using conceptual development of multiplication and division. Applies these operations in problem solving. Use of parenthesis in computation, divisibility of whole numbers, and flowcharting.

• Measurement - Integrates number and geometry concepts using length, area, and volume.

• Relations - Uses order, number patterns, and functions to explore number relations.

• Tables and Graphs - Involves organizing, displaying, and using data in a various formats.



Mathematical Reasoning Grades 7-9 Middle School Supplement
Paperback, 320 pages, reproducible
• 2D Geometry
• Probability
• Number Operations
• Rates, Ratios and Proportions
• Fractions
• Patterns
• Percent
• Graphing
• Statistics
• Number Theory
• 3D Geometry
• Miscellaneous



Math Detective®
Math Detective's® uses topics and skills drawn from national math standards to prepare your students for advanced math courses and assessments that measure reasoning, reading comprehension, and writing in math.

Students read a short story that includes a chart, table, or graph. Next, they answer critical thinking questions to improve their understanding of the math concept and develop their critical thinking (comprehension) skills. Students can't just scan the story for answers–they must carefully analyze and synthesize the information from the text and the chart, table, or graph to explain and support their answers. Stories are age-relevant, high-interest, and show students that math is integral to everyday activities.



Math Detective Beginning
Grades 3 to 4, Paperback, 110 pages, reproducible
The activities are organized around these math concepts: Number and Numeration; Patterns; Operations; Geometry and Spatial Sense; Probability; Statistics.


Math Detective A1
Grades 5 to 6, Paperback, 128 pages, reproducible
The activities are organized around these math concepts: Number and Numeration; Operations; Geometry; Probability; Statistics; Pre-Algebra.


Math Detective B1
Grades 7 to 8, Paperback, 136 pages, reproducible
The activities are organized around these math concepts: Number and Numeration; Operations; Ratio, Proportion, and Percent; Geometry and Introduction to Trigonometry; Probability; Statistics; Algebra Concepts.