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
|
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