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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 expanded notation 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.