| A | Sets, Logic, and Probability |
| B | Arithmetic |
| C | Fractions and Decimals |
| D | Measurement, Graphs, and Equations |
| E | Geometry |
| Grade Level | Strand | Topic |
|---|---|---|
| 4.0 | A | set description and word problems intro. of factors and product |
| B | regrouping for subtraction subtracting tens and ones continuing lesson on subtracting tens and ones regrouping hundreds and tens finding factors and products |
|
| C | equal fractions as in 1/2 = 2/4 with pictures numerator and denominator same equals all the parts, 2/2 = 1 showing fractions and equal fractions on number lines |
|
| D | temperature: Celsius scale, Fahrenheit scale liquid measure: tsp., tbs., cup, ounce, pint, quart, gallon |
|
| E | definition of points, lines, segments, and rays | |
| 4.1 | A | definition of any number divided by one equals the number union of sets |
| B | check division with multiplication solving equations by division using parentheses and intro. to parentheses example of distributive law for multiplication finding products by use of the distributive law |
|
| C | showing adding and subtracting of fractions on a number line addition of whole numbers and fractions |
|
| D | weight measure: ounces, pounds, hundredweight, tons money: penny, cent, nickel, dime, quarter, half dollar, dollar |
|
| E | definition of angles and vertex | |
| 4.2 | A | difference of sets |
| B | solving multiplication with use of distrib. law and algorithms with 2 digit numbers multiplication of a single digit and 2 digit number multiplication of a single digit and a 3 digit number |
|
| C | finding mixed numbers and whole numbers using a ruler and the correlation of fractions least common multiple of two numbers |
|
| D | time zones twenty-four hour clock definition of twenty-four hour clock |
|
| E | definition of congruent angles | |
| 4.3 | A | disjoint and overlapping sets sets of numbers |
| B | distributive law for division distributive law for division distributive law for division over addition concept of ones, tens, hundreds, thousands, ten-thousands concept of hundred-thousands |
|
| C | numerator/denominator of a fraction fractional parts of whole objects fractional parts of a set of objects |
|
| D | measurement is approximate rounding measurements |
|
| E | definition. of interior angles of a rectangle | |
| 4.4 | A | sets of numbers difference of two sets of numbers |
| B | concept of millions reading numerals, i.e. "one million", "ten million", ... division and remainders estimating in division expressing hundreds as tens |
|
| C | proper/improper fractions showing whole numbers and fractions on a number line comparing fractions |
|
| D | perimeter and areas drawing to a scale |
|
| E | constructions | |
| 4.5 | A | infinite sets |
| B | dividing tens dividing tens and ones, ex. 131 divided by 2 number line and negative and positive numbers negative numbers adding negative numbers |
|
| C | addition of whole numbers and fractions fractions equal whole numbers |
|
| D | intro. of metric system: km, dm, m, cm, and mm. Review |
|
| 4.6 | A | definition of a set equal/equivalent sets |
| B | comparing numbers adding a positive and a negative number adding a negative and positive number numberline for fractions adding fractions with a numberline |
|
| C | correlation between division and fractions fractions equal mixed numbers correlation between division of fractions and mixed numbers |
|
| D | definition of coordinate system, coordinates, horizontal axis, vertical axis. ordered pairs finding ordered pairs |
|
| 4.7 | A | union of sets intersection of sets |
| B | dividing by multiples of ten more dividing by multiples of ten divide by numbers that are not multiples of ten continuing lesson of division |
|
| C | addition of fractions addition of mixed numbers |
|
| D | plotting points fractions as coordinates |
|
| E | scalene triangles | |
| 4.8 | A | difference of sets |
| B | continuing lesson of division binary operations on numbers commutative law for addition commutative and associative definitions associative law for addition |
|
| C | subtraction of fractions subtraction of mixed numbers multiplication of fractions |
|
| D | identifying horizontal and vertical lines Review |
|
| 4.9 | A | disjoint and overlapping sets proper subsets |
| B | definition of associative law for addition subtraction subtraction is not commutative subtraction with parentheses definition of subtraction is not associative |
|
| C | division of fractions Review |
|
| D | introduction and definition of bar graphs definition of line graphs |