Chapter -"Number Theory and Systems"-The learner will understand numeration, number theory, and number systems.
|
| 1 |
Read and Write Numbers-Use numeric digits and words to read and write numbers up to the hundred billions.
|
5302 5303 5400 5403 56279
|
| 2 |
Numbers in Expanded Form-Write numbers in expanded form.
|
5325 5326
|
| 9 |
Roman Numerals-Read and write Roman numerals.
|
5B004 5B005 5B006 5B007 5B008
|
| 3 |
Round to 10's & 100's-Round to the nearest ten; to the nearest hundred.
|
5402 5405
|
| 4 |
Powers of 10-Identify powers of 10 through the 6th power.
|
56280
|
| 5 |
Exponents-Explore exponents as repeated multiplication.
|
56281 5B003
|
| 6 |
Greatest Common Factor-Determine the greatest common factor of given numbers.
|
5329 5330 56282
|
| 7 |
Prime Numbers-Identify prime numbers less than 50.
|
5333 5334 5B002
|
| 8 |
Prime Factorization-Define and identify prime and composite numbers up to 50. Find the prime factorization of numbers up to 50.
|
56283 5B015
|
Chapter -"Multiplication and Exponents"-The learner will understand the meanings of operations and how they relate to one another (multiplication and exponents).
|
| 1 |
Least Common Multiple-Determine the least common multiple of given numbers.
|
5331 5332 56284
|
| 2 |
Properties-Describe and apply the Commutative, Associative, and Distributive Properties for multiplication. (Different notations of multiplication.)
|
5319 5320 56182
|
| 3 |
Mental Computation Strategies-Demonstrate mental computation strategies for multiplication.
|
5321 5322
|
| 4 |
Estimate Products-Estimate products of whole numbers.
|
5323 5324 5B017 5B018
|
| 5 |
Four-digit Multiplication-Multiply using four-digit numbers.
|
5327
|
| 6 |
Exponential Expressions-Evaluate exponential expressions involving squares and cubes.
|
56183
|
| 7 |
Skills & Strategies-Analyze and solve problems using multiplication skills and strategies.
|
5335 5336
|
Chapter -"Division"-The learner will understand the meanings of operations and how they relate to one another. (division)
|
| 1 |
Opposite Operations-Show multiplication and division as opposite operations.
|
5394 5395
|
| 2 |
Dividend, Divisor & Quotient-Explain the terms: dividend, divisor, and quotient and what it means for one number to be divisible by another number.
|
5389 5393
|
| 9 |
Fact Families-Identify fact families for multiplication and division (5 x 6 = 30, 30 / 6 = 5, etc.).
|
5B021
|
| 3 |
Divisibility Rules-Apply the Divisibility Rules of 2, 3, 5, 9, and 10 to various numbers.
|
56285 5B012 5B013 5B014
|
| 4 |
Properties of Division-Explain rules of division; cannot divide by 0; any number divided by 1 equals that number.
|
56286
|
| 5 |
Estimate Quotients-Use compatible numbers to estimate quotients.
|
56287 5B019 5B020
|
| 6 |
Four-digit Dividends-Divide dividends up to four digits by one-digit, two-digit, and three-digit divisors.
|
5390 5391 5B009 5B010
|
| 7 |
Division Check-Check division by multiplying (and adding remainder).
|
5328 5351 5352 5B011
|
| 10 |
Grouping With Parentheses-Evaluate expressions with parentheses.
|
5B001
|
| 8 |
Order of Operations-Apply the order of operations, excluding roots.
|
56184
|
Chapter -"Fractions"-The learner will understand relationships among numbers and ways of representing fractional numbers.
|
| 1 |
Comparing Fractions-Using the signs <, >, and =, compare fractions with like and unlike denominators.
|
5355 5356 56288
|
| 2 |
Least Common Denominator-Determine the least common denominator of fractions with unlike denominators.
|
56289
|
| 3 |
Equivalent Fractions-Find equivalent fractions, and write fractions in simplest form.
|
5359 5360
|
| 4 |
Identify the Reciprocal-Identify the reciprocal of a given fraction; know that the product of a given number and its reciprocal = 1.
|
5361 5362
|
| 5 |
Add and Subtract Fractions-Add and subtract fractions (with like and unlike denominators) with and without regrouping, and express answers in simplest form.
|
5363 5364 56290
|
| 10 |
Comparing and Ordering Mixed Numbers-Compare and order mixed numbers.
|
5B022
|
| 6 |
Add and Subtract Mixed Numbers-Add and subtract mixed numbers (with like and unlike denominators) with and without regrouping, and express answers in simplest form.
|
56291 5B023 5B024
|
| 11 |
Multiplying Fractions-Multiply fractions.
|
5B025 5B027 5B026
|
| 7 |
Multiply Mixed Numbers-Multiply mixed numbers and fractions.
|
5367 5368 5B028
|
| 8 |
Round Fractions-Round fractions to the nearest whole number.
|
5369 5370
|
| 9 |
Fractions and Decimals-Write fractions as decimals.
|
5371 5372 56292
|
Chapter -"Decimals"-The learner will understand relationships among numbers and ways of representing decimal numbers.
|
| 1 |
Read & Write Decimals-Read, write, and order decimals to the nearest ten-thousandth.
|
5380 5385
|
| 2 |
Decimals on the Number Line-Read and write decimals on a number line.
|
56293 5B029
|
| 3 |
Comparing Numbers-Use <, >, = to compare decimals through thousandths. Order decimals through thousands.
|
5401 5404 56294 5B030
|
| 4 |
Round Decimals-Round decimals to the nearest tenth; to the nearest hundredth; to the nearest thousandth.
|
5381 5386 5B031 5B032
|
| 5 |
Estimate Decimals-Estimate decimal sums, differences, and products by rounding.
|
5382 5387
|
| 6 |
Estimate Sums & Differences-Estimate sums and differences for whole numbers and decimals
. |
5304 5406 5B042 5B043
|
| 7 |
Add and Subtract Decimals-Add and subtract decimals through ten-thousandths.
|
56295
|
| 8 |
Multiply and Divide by 10-Multiply and divide decimals by 10, 100, and 1000. Move the decimal point.
|
5383 5388 56296 5B016
|
| 9 |
Multiply Decimals by Decimals-Multiply decimals by other decimals.
|
56297 5B033 5B034 5B035 5B036
|
| 10 |
Divide Decimals-Divide decimals by whole numbers and other decimals.
|
5384 5B037 5B038 5B039 5B040
|
| 11 |
Word Problems with Decimals - All Operations-Solve word problems with decimals.
|
5B041
|
Chapter -"Ratios and Percents"-The learner will understand relationships among numbers and ways of representing ratios and percents.
|
| 1 |
Simple Ratios-Determine and express simple ratios.
|
5453 5454 5B048 5B049
|
| 2 |
Equivalent Ratios-Find equivalent ratios.
|
56298
|
| 3 |
Speed as a Ratio-Using the formula S = D/T (or D = S x T), solve problems about speed as a ratio.
|
5459 5460
|
| 4 |
Fractions, Decimals, and %-Recognize the percent sign and understand percent as per hundred. Express equivalences between fractions, decimals, and percentages, and know common equivalencies.
|
5461 5462 56299 5B046 5B047
|
| 6 |
The Meaning of Percent-An introduction to the concept of percent.
|
5B044
|
| 5 |
Find a Percent-Find a given percent of a number.
|
5465
|
| 7 |
Working with Percents-An introduction to percents as part of a whole, includes pie charts and simple additions and subtractions of percents.
|
5B045
|
Chapter -"Algebra"-The learner will understand algebraic concepts.
|
| 1 |
Algebraic Expressions-Write algebraic expressions from phrases or word problems and substitute given values for variable to find value of expression.
|
56315
|
| 2 |
Solve Equations with Add/Sub-Solve one-step algebraic equations using addition or subtraction. (x – 5 = 11)
|
56316
|
| 3 |
Solve Equations with Mult/Div-Solve one-step algebraic equations using multiplication or division. (5x = 15)
|
56317 56376
|
Chapter -"Geometry"-The learner will analyze characteristics and properties of two- and three-dimensional shapes.
|
| 1 |
Point, Line, Segment & Ray-Identify and draw points, segments, rays, and lines.
|
5413
|
| 2 |
Identify Types of Lines-Identify and draw horizontal, vertical, perpendicular, parallel, and intersecting lines.
|
5414 5420 5B057 5B058
|
| 3 |
Draw a Circle-Using a compass, draw circles with a given diameter or radius.
|
5421 5422
|
| 4 |
Angles-Using a protractor, measure the degrees in right, acute, obtuse and straight angles.
|
5423 5430 56263 5B055 5B056
|
| 5 |
Construct Triangles-Identify and construct with compass and straight edge, equilateral, right, and isosceles triangles.
|
5424 5431
|
| 6 |
Triangles-Classify triangles as equilateral, right, or isoceles. Apply properties of triangles to find missing side length or angle.
|
56264
|
| 7 |
Polygons-Sort polygons by attributes. Classify quadrilaterals as parallelograms, trapezoids, rhombi, rectangles and squares.
|
5301 5305 5425 5426 56000 56260 5B059 5B060
|
| 8 |
Regular Polygons-Know that regular polygons have sides of equal length and angles of equal measure.
|
56001 56278
|
| 9 |
Interior Angle Sum Theorem-Use triangles and quadrilaterals to draw conclusions about the sum of the interior angle measurements. Identify and draw diagonals of polygons.
|
56002 56265
|
| 10 |
Circles-Identify arc,chord, radius, and diameters of circles. Calculate the radius or diameter of a circle.
|
5415 5427 56261 5B061
|
| 11 |
Polyhedrons-Sort polyhedrons by their attributes.
|
56262 56375
|
Chapter -"Coordinate Geometry"-The learner will specify locations and describe spatial relationships using coordinate geometry.
|
| 1 |
Plotting Points-Plot points on a coordinate plane, using ordered pairs of positive and negative whole numbers.
|
5411 5416
|
| 2 |
Distance Between Lines-Identify the basic characteristics of the coordinate plane. Find the distance between a pair of horizontal or vertical lines on a coordinate grid.
|
56269
|
| 3 |
Translations-Transform a figure on a coordinate grid. (translation)
|
56270
|
| 4 |
Distance and Directions-Use fixed and relative directions to find the coordinates of a point.
|
56271
|
| 5 |
Point and Line Relationships-Use coincident, collinear, parallel and perpendicular to describe relative orientation on a coordinate grid.
|
56273
|
Chapter -"Transformations and Symmetry"-The learner will apply transformations and use symmetry to analyze mathematical situations.
|
| 1 |
Similarity and Congruence-Explore similarity using congruent angles. Explore congruence using congruent segments and congruent angles.
|
56274
|
| 2 |
Symmetry-Classify plane figures as having line symmetry, point symmetry, both, or none.
|
56275
|
| 3 |
Transformations-Apply multiple transformations to a plane figure. Predict the result. Identify the image of a plane figure as the result of a multiple transformation. (Include 90 degree and 180 degree rotations)
|
56004 56301
|
Chapter -"Spatial Reasoning"-The learner will use visualization, spatial reasoning, and modeling to solve problems.
|
| 1 |
Nets-Identify and create a 2-dimensional representation of a 3-dimensional figure. (nets) (on a grid or dot paper)
|
56302
|
| 2 |
Building a 3-D Figure-Build 3-dimensional shapes from a set of views.
|
56303
|
| 3 |
Use Ratios to Create Drawings-Use ratio to create a simple scale drawing.
|
5457
|
| 4 |
Scale and Relative Size-Use a scale to show relative size on a map or drawing.
|
56304
|
Chapter -"Measurement"-The learner will use a variety of tools and techniques to develop measuring skills, and apply the results in problem-solving situations.
|
| 1 |
Elapsed Time-Solve problems about elapsed time.
|
5435 5436 56305
|
| 2 |
Linear in Standard English-Estimate and make linear measurements in yards and in feet and inches (to 1/16 in.).
|
5437 5438
|
| 3 |
Metric System - Linear-Estimate and make linear measurements in meters, centimeters, and millimeters.
|
56306
|
| 4 |
Weight in Standard English-Estimate and measure weight in pounds and ounces.
|
5441 5442
|
| 5 |
Weight in Metric Units-Estimate and measure weight in grams and kilograms.
|
5443 5444
|
| 6 |
Volume in Standard English-Estimate and measure liquid capacity in teaspoons, tablespoons, cups, pints, quarts, gallons.
|
5445 5446
|
| 7 |
Volume in Metric Units-Estimate and measure liquid capacity in milliliters and liters.
|
5447 5448
|
| 8 |
Proportional Reasoning-Determine lengths, weights and capacities using proportional reasoning and indirect measurement.
|
56307
|
| 9 |
Temperature in Degrees-Using Celsius and Fahrenheit scales, measure temperatures.
|
5449 5450
|
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