| Solve simple addition word problems |
New Vocabulary in this Range: how many, not, in all, altogether
New Signs and Symbols: none
| Solve simple subtraction word problems |
| Use a problem solving process (as defined by text) |
| Recognize and extend a pattern: shape, color and size |
| Identify position concepts: over, under, inside, outside, in front, behind, top, middle, bottom |
| Combine and identify the value of a collection of coins and bills up to and including $1.00 |
| Compare objects by shape, size, height, or length (larger, smaller, taller, shorter, longer) |
| Complete and interpret simple picture graphs, bar graphs or tables |
New Vocabulary in this Range: product, number sentence, problem, how many more, multiples, greater than, left, how much, money, answer, about, outside, inside, shape, calendar, picture
New Signs and Symbols: none
| Find and extend patterns, both increasing and decreasing |
| Make predictions for events (likely or unlikely) |
| Determine what operation is needed to solve a word problem (addition and subtraction) |
| Solve simple word problems using addition and subtraction |
| Solve simple word problems based on data from picture and bar graphs |
| Solve for missing addends in an addition and subtraction number sentence |
| Solve one-step word problems involving addition or subtraction of four or fewer digits |
| Solve one-step word problems involving division |
| Identify extra information or missing information that is necessary to solve word problems |
| Choose and apply an appropriate problem solving strategy: Draw a picture, Make a model, Guess and test, Make a list, Make a table, or Find a pattern |
| Solve problems using information from a bar graph |
| Compute and count change up to and including $5.00, addition and subtraction only |
| Construct and interpret line graphs involving problem solving |
New Vocabulary in this Range: add, subtract, multiply, divide, rate, kilometers, hours, between, equals, cost, time, less than, closest to, equation, weigh, minutes, pieces, dozen, cups, inches, pounds, miles, sum, dime, nickel, pennies, quarter
New Signs and Symbols: +, $, decimal point for cents, ¢
| Identify the correct information to solve addition and subtraction word problems |
| Solve one-step word problems involving multiplication and division, including money |
| Estimate the answers to word problems |
| Determine what operation is needed to solve a word problem (all four operations) |
| Choose and apply an appropriate problem solving strategy: Draw a picture, Make a model, Guess and test, Make a list, Make a table, Find a pattern, Work backwards, Solve a simpler problem, or Draw a diagram |
| Solve word problems involving any combination of basic operations on whole numbers (one-step problems) |
| Write a number sentence to solve one-step word problems involving the operations of addition, subtraction, and multiplication of fractions and decimals |
| Solve multi-step word problems involving any combination of basic operations |
| Construct and solve word problems involving information from a table |
| Understand the concept of ratio using concrete and pictorial models |
| Solve one- and two-step word problems involving any combination of basic operations on whole numbers, decimals, and fractions |
New Vocabulary in this Range: terms, meter, millimeters, kilogram, feet, yards, unit of measurement, height, thousands, hundreds, tens, table, graph, length, width, rectangular, area, square inches, exactly, coins, numeral, even, change, average, opposite, percent, subtrahend, addend, formula, circle, diameter, operation, total, fact, fraction, surfaces, cube, temperature, first – fifth (ordinal names), difference, equivalent
New Signs and Symbols: tally marks, =, - as an integer sign, %, ° C, € for answer
| Estimate the answers to word problems |
| Solve written word problems involving the addition or subtraction of monetary amounts |
| List the prime and composite numbers less than 50 in a word problem |
| Order integers on a number line |
| Interpret data given in percent form on a circle graph and broken line graph |
| Solve word problems involving customary and metric measurement |
| Solve word problems involving distance, rate and time |
| Use logic to solve problems |
| Solve word problems using proportional reasoning |
| Solve geometry problems by making a drawing or diagram |
| Choose and use an appropriate problem solving strategy: Draw a picture, Make a model, Guess and test, Make a list, Make a table, Find a pattern, Work backwards, Solve a simpler problem, Draw a diagram, Write an equation, or Logical Deduction |
New Vocabulary in this Range: equation, product, increased, number line, information not needed, division, estimate, odd, prime, cube, pattern, geometric patterns, extra information
New Signs and Symbols: r x t = d
| Compute word problems with time and calendars |
| Investigate experimental probability of an event using a coin or spinner |
| Solve practical word problems involving perimeter and area of a square, rectangle or triangle |
| Understand and identify the place value and value of each digit in numerals through the billions |
| Solve practical problems involving the mean (average) of a set of numbers |
| Solve one- and two-step word problems involving any combination of basic operations on whole numbers, decimals, and fractions |
| Determine the discount price and sale price |
| Choose and use an appropriate problem solving strategy: Draw a picture, Make a model, Guess and test, Make a list, Make a table, Find a pattern, Work backwards, Solve a simpler problem, Draw a diagram, or Write an equation |
| Solve problems involving arrangements |
| Understand the properties of integers: commutative, associative, identity, zero property of multiplication, distributive property of multiplication over addition, and inverse property of addition |
| Calculate the square of any number less than 100 |
| Calculate the cost of one item or the unit cost using a proportion |
New Vocabulary in this Range: decimals, fractions, what shape, hour, minutes, gallons, average, probability, graph, squares
New Signs and Symbols: %
| Choose and use an appropriate problem solving strategy: Draw a picture, Make a model, Guess and test, Make a list, Make a table, Find a pattern, Work backwards, Solve a simpler problem, Draw a diagram, or Write an equation |
| Select the appropriate unit of measure for length and area |
| Write and solve an equation using ratios, given a word problem |
| Write and solve an equation for a word problem |
| Analyze circles: center, chord, diameter, radius, arc, semicircle, and circumference |
| Solve simple interest problems (amount x rate x time) |
| Use estimation to determine if solutions to word problems are reasonable |
| Predict outcomes using probability |
New Vocabulary in this Range: mortality, odometer, magic square, deducted, less than twice, addends, less than sum, rectangle, diameter, radius, label (units), area, perimeter
New Signs and Symbols: I = prt
| Use logic to predict outcomes |
| Work backwards to solve problems |
| Solve multi-step problems involving computation |
| Find correct mathematical expressions to represent word problems |
| Find simple interest earned |
| Find missing numbers in a diagram by using patterns |
| Use map scales to solve problems |
| Solve if-then logic problems |
| Solve complex word problems involving ratio, percent, discount, sale price, rounding and estimation, averaging, length, volume, rate, calendars, probability, money, and time |
| Given the answer to a problem, determine the question |
| Formulate expressions and equations to model problem solving situation |
New Vocabulary in this Range: regression equation
New Signs and Symbols: none
| Solve complex word problems involving rate, ratio, percent, averages, and sale price |
| Solve problems involving regression equations |
| Manipulate problems with time and a half and overtime wages |
| Actual versus precise measurements |
| Use of symmetry to determine grouping properties |
| Compare volume of different dimensional containers |
| Use a matrix to identify given figure on a graph |
| Write the converse of a geometric statement |
| Select appropriate unit of measure |
New Vocabulary in this Range: matrix
New Signs and Symbols: none
| Solve problems involving ratio of a side of a figure to its area, perimeter, or volume |
| Determine proportional parts of a number |
| Use proportional relationships to determine lengths of sides of a figure that are represented by algebraic relationships |
| Solve complex word problems with surface area, area, circumscribed figures, Pythagorean Theorem, consecutive integers |
| Use clues given in word problems to decode correct answer |
| Determine correct formula needed to solve problem |
| Multiplication of matrices |
New Vocabulary in this Range: none
New Signs and Symbols: none
| Solve complex geometry, algebra, and probability problems |
New Vocabulary in this Range: none
New Signs and Symbols: none
| Solve problems involving successive discounts and rate of interest |
New Vocabulary in this Range: none
New Signs and Symbols: none