Hands-On Math!: Ready-to-Use Games & Activities for Grades 4-8

Overview

Here's a super treasury of 279 exciting math games and activities that help students learn by engaging both their minds and their bodies. Dispensing with tired "rote" learning and memorization, Hands-On Math! uses fun-filled exercises that encourage your students to think and reason mathematically.

Illustrated, hands-on activities organized in natural concrete-to-abstaract progressions give your students the tools they need to solve math problems, while encouraging them to think...

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Overview

Here's a super treasury of 279 exciting math games and activities that help students learn by engaging both their minds and their bodies. Dispensing with tired "rote" learning and memorization, Hands-On Math! uses fun-filled exercises that encourage your students to think and reason mathematically.

Illustrated, hands-on activities organized in natural concrete-to-abstaract progressions give your students the tools they need to solve math problems, while encouraging them to think independently and apply math to their own lives. In line with the latest NCTM guidelines, this invaluable teacher's aid develops basic and advanced math skills through an effective combination of concrete exercises (manipulatives), pictorial models and cooperative learning experiences. For eay use, this handy resource is organized into the following eight sections, each covering conc3epts from a different area of mathematic:

  • NUMBER AND NUMBER RELATIONSHIP — "Enough to Round Off?" (concrete) ... "Shaded Squares" (pictorial) ... "Who Had More?" (cooperative)
  • PATTERNS, RELATIONS AND FUNCTIONS — "Number Splitting" (concrete) ... "Decimal Patterns" (pictorial) ... "Sequence Scramble" (cooperative)
  • DEVELOPMENT OF WRTTEN ALGORITHMS— "Building Equal Shares" (concrete) ... "Addition Diagrams" (pictorial) ... "Product Spin" (cooperative)
  • GEOMETRY AND SPATIAL SENSE (including Symmetry)— "Folding Shapes" (concrete) ... "Changing the Perspective" (pictorial) ... "Similarity Search" (cooperative)
  • MEASUREMENT — "Weighing In" (concrete) ... "Which Holds More?" (pictorial) ... "Time Predicting" (cooperative)
  • STATISTICS AND PROBABLITY— "What Could Happen Here?"(concrete) ..."Making a Line Graph Record" (pictorial) ... "Mode Detectors" (cooperative)
  • NUMBER THEORY — "Factor Forms"(concrete) ... "Prime Search" (pictorial) ... "Multiples Match" (cooperative)
  • ALGEBRAIC THINKING — "Balancing Unknowns" (concrete) ... "Drawing Integer Combinations" (pictorial) ... "Equation Bashing" (cooperative)
What's more, Hands-On Math! makes your job easier by providing you with scores of reproducible record sheets, workmats and other student handouts that you'll use as many times as needed.
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Product Details

  • ISBN-13: 9780876283837
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 5/10/1994
  • Series: J-B Ed: Hands On Series , #7
  • Edition number: 1
  • Pages: 515
  • Age range: 9 - 13 Years
  • Product dimensions: 9.74 (w) x 11.16 (h) x 2.02 (d)

Table of Contents

About this Book.
Chapter 1: Number and Number Relationships.
Introduction.
Objective 1: Order four-digit and five-digit whole numbers.
Objective 2: Round whole numbers to the nearest hundred or thousand.
Objective 3: Order simple (proper) fractions having like or unlike denominators.
Objective 4: Develop the concepts of tenths and hundredths.
Objective 5: Order decimals (ones, tenths, hundredths).
Objective 6: Rename mixed numbers and improper fractions.
Objective 7: Round mixed numbers to whole numbers.
Objective 8: Find equivalent fractions by reduction.
Objective 9: Develop the concept of percent.
Objective 10: Relate fractions, decimals, and percents.
Objective 11: Develop the ratio concept and equivalent ratios or proportions.
Chapter 2: Patterns, Relations, and Functions.
Introduction.
Objective 1: Extend sequences of whole numbers.
Objective 2: Develop multiplications facts using pattern of rows.
Extension Objectives: Explore zero as a factor in multiplication.
Objective 3: Extend sequences of tenths or hundredths.
Objective 4: Develop division facts with array.
Extension Objectives: Explore the role of zero in division.
Objective 5: Generate sequences with geometric shapes.
Objective 6: Pair quantities of objects from two different sets to build patterns.
Objective 7: Find equivalent fractions, using patterns of change within numerators and denominators.
Objective 8: Find patterns in the divisibility of whole numbers.
Objective 9: Develop positive exponents for whole numbers.
Objective 10: Develop expandednotation with exponential form.
Chapter 3: Development of Written Algorithms.
Introduction.
Objective 1: Multiply two- and three-digit whole numbers by one-digit multipliers.
Objective 2: Divide tow- and three-digit whole numbers by one-digit divisors.
Objective 3: Multiply two- and three- digit whole numbers by two-digit multipliers.
Objective 4: Divide two- and three-digit whole numbers by two-digit divisors.
Objective 5: Add decimals (tens, ones, tenths, hundredths, thousandths).
Objective 6: Subtract decimals (tens, ones, tenths, hundredths, thousandths).
Objective 7: Add fractions with like and unlike denominators.
Objective 8: Subtract fractions with like and unlike denominators.
Objective 9: Divide fractions with like and unlike denominators.
Objective 10: Multiply fractions with whole numbers or other fractions.
Objective 11: Relate fraction multiplication to the division of fractions.
Objective 12: Multiply decimal fractions, using factors involving ones and tenths.
Objective 13: Divide decimal fractions, using divisors and quotients containing ones and tenths.
Chapter 4: Geometry and Spatial Sense.
Introduction.
Objective1: Identify two-dimensional figures by their characteristics.
Objective 2: Determine symmetry for two-dimensional figures.
Objective 3: Build or select a set of curves that is a copy of a given solid shape made from cubes also.
Objective 4: Make (a) reflections of a given planar shape, or (b) rotations of a given planar shape.
Part (a): Reflections.
Part (b): Rotations.
Objective 5: Classify angles as right, acute, or obtuse angles.
Objective 6: Classify pair of lines as intersecting, parallel, or perpendicular lines.
Objective 7: Identify congruent figures.
Objective 8: Identify similar figures.
Objective 9: Analyze three-dimensional models form different viewpoints.
Objective 10: Construct and measure angles with a protractor.
Objective 11: Find the sum of the angle measures of a triangle.
Objective 12: Classify polygons by their number of sides.
Objective 13: Classify triangles by their sides — scalene, isosceles, and equilateral.
Objective 14: Classify triangle by their angles— acute, obtuse, and right.
Objective 15: Identify three-dimensional figures by their characteristics (cones, pyramids, prisms, spheres, cylinders, etc.).
Objective 16: Finding angle bisectors.
Objective 17: Identify skew lines.
Objective 18: Recognize transformations of two-dimensional figures.
Chapter 5: Measurement.
Introduction.
Objective 1: Find the perimeters of irregular polygons.
Objective 2: Find the perimeters of parallelograms.
Objective 3: Measure the mass (weight) of small objects.
Objective 4: Compare and measure the capacities of assorted containers.
Objective 5: Determine the amount of time elapsed in a given situation.
Objective 6: Find the area of a rectangle.
Objective 7: Find the area of a parallelogram.
Objective 8: Determine the volume of a right rectangular prism.
Objective 9: Find the circumference of a circle.
Objective 10: Find the area of a triangle.
Objective 11: Find the area of a trapezoid.
Objective 12: Find the area of a circle.
Objective 13: Use the relationship between units to convert measure within the same measurement system.
Objective 14: Determine the areas of irregular frames.
Chapter 6: Statistics and Probability.
Introduction.
Objective 1: Explore proportions through reductions and enlargements.
Objective 2: Locate points of a grid.
Objective 3: Construct bar graphs where each cell represents multiple units.
Objective 4: Constructing line graphs.
Objective 5: List all possible outcomes of a given situation.
Objective 6: Make all possible arrangement of a set of objects.
Objective 7: Find the mode of a given set of data.
Objective 8: Find the mean of a given set of data.
Objective 9: Find the median for a given set of data.
Objective 10: Use fractions names to describe the probabilities of simple events.
Objective 11: Construct circle graphs.
Chapter 7: Number Theory.
Introduction.
Objective 1: Determine the evenness and oddness of whole numbers.
Objective 2: Find the factor pairs for a whole number.
Objective 3: Identify prime and composite numbers using factor pairs or array.
Objective 4: Find the prime factors of a whole number.
Objective 5: Find the multiples of whole numbers.
Objective 6: Find the common denominator of two or more common fractions.
Objective 7: Find the prime factorization of a whole number.
Objective 8: Use the prime factorization to find factor pairs of a whole number.
Chapter 8: Algebraic Thinking.
Introduction.
Objective 1: Write algebraic expressions for word phrases that reflect actions in a story situation.
Objective 2: Determine the meaning of positive and negative units; order integers.
Objective 3: Apply zero-pairs in story situations that require combining of integers.
Objective 4: Apply take-away move to constants to solve simple linear equations of the form n + a = b where n, a, and b are positive integers.
Objective 5: Apply separation moves to solve simple linear equations of the form kn = b where n, b, and k are positive integers.
Objective 6: Apply add-on moves to solve simples linear equations of the form n + (-a) = b where n, a, b are positive integers.
Objective 7: Apply take-away moves to variables to solve simple linear equations when the variable appears on both sides of the equation; the variable may also appear in more than one term on the same side of the equation.
Objective 8: Apply combinations of the add-on (constants only), take away, and separation moves to solve simple linear equations.
Appendix: Patterns/Grids.
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