Math 4:

Key fourth-grade concepts to be taught are:

• Identifying place value through millions;
• Computing multiple-digit multiplication problems;
• Understanding and correctly using the terms: “prime”, “composite”, “factor”, “multiple”,
• and “compatible”;
• Computing long division problems with two-digit divisors;
• Using rules of divisibility by 2, 3, 5, and 10;
• Estimating by rounding and using compatible numbers;
• Multiplying and dividing mentally by 10, 100, and 1,000;
• Computing simple averages (or means);
• Identifying prime and composite numbers, and multiples of a given factor;
• Finding the least common denominator for the comparison, addition and subtraction of fractions;
• Relating fractions to decimal equivalents, and correctly reading, writing, and interpreting decimals through thousandths;
• Expanding the understanding and application of graphs to include circle graphs as well as bar graphs, line graphs, pictographs and Venn diagrams previously explored;
• Expanding the understanding of three-dimensional figures, lines, segments, points, rays, coordinates, and planes;
• Recognizing and identifying parallel, perpendicular, and intersecting lines;
• Recognizing properties of quadrilaterals and regular polygons;
• Expanding on the measurement of lengths, capacity, weight, and temperature, using both customary and metric units and measurements of time;
• Converting measurement within a measurement system;
• Making “ballpark” comparisons between metric and customary measurements;
• Expanding the understanding and usage of variables and algebraic patterns.

Math 5/6

• Added to the maintenance of the fourth grade skills are the following key fifth and sixth grade skills:
• Relating decimals to simple percents (10%, 25%, 50%, 75%);
• Comparing and converting among fractions, decimals, and percents;
• Exploring numbers less than zero by extending the number line to include negative integers;
• Multiplying two decimals to the thousandths place;
• Adding and subtracting fractions and mixed numbers, with and without regrouping, and expressing answers in simplest form;
• Multiplying and dividing fractions and mixed numbers;
• Dividing up to four-digit dividends by 1-digit divisors using short division;
• Constructing, collecting, organizing, and interpreting data represented on a stem-and-leaf graph;
• Finding and using the mean of a given set of numbers;
• Using formulas to find the area and perimeter of rectangles, triangles, and parallelograms, developing strategies to determine the surface areas and volumes of rectangular solids, and exploring what happens to the perimeters and areas of two-dimensional figures when the shapes are changed in some way;
• Identifying and drawing acute, right, obtuse and straight angles;
• Classifying triangles by sides (scalene, isosceles, equilateral) and angles (acute, right, obtuse);
• Identifying and describing the diameter, radius, chord and circumference of a circle;
• Using coordinate systems to specify locations and to describe paths, and finding the distance between points along horizontal and vertical lines in all four quadrants of a coordinate graph;
• Investigating how changes in one variable relate to changes in a second variable, and comparing situations with constant and varying rates of change.
• Adding, subtracting, multiplying, and dividing decimals;
• Identifying and representing integers on a number line;
• Calculating percentages;
• Using exponents to express powers;
• Generalizing patterns, and expressing them in words and with expressions;
• Relating and comparing data using ratios;
• Finding the areas and perimeters/circumferences of circles, quadrilaterals, and
• triangles;
• Using a compass to construct line and angle bisectors;
• Solving algebraic expressions with whole number coefficients;
• Converting among decimals, fractions, and percents;
• Analyzing and interpreting data, statistically and graphically.