Saxon Math 5/4, Math 6/5, Math 7/6, and Math 8/7 Scope and Sequence
Saxon Math 5/4 Saxon Math 6/5 Saxon Math 7/6 Saxon
Math 8/7
暗影熊
Numbers and Operations
Numeration • • • • Digits • • • •
Reading and writing numbers • • • •
Ordinal numbers • • • •
Place value • • • •青少年安全教育
Number line • • • •
Expanded notation • • • •
Operations Addition Addends and sum • • • •
Adding whole numbers • • • •
Regrouping • • • •
Adding decimals • • • •
Adding fractions and mixed numbers • • • •
Adding signed numbers • •
Mental addition strategies • • •
Subtraction Difference, subtrahend, and minuend • • • •
Subtracting whole numbers • • • •
Regrouping (borrowing) • • • •
Subtracting decimals • • • •
Subtracting fractions and mixed numbers • • • •
Subtracting signed numbers • •
Mental subtraction strategies • • • •
Multiplication Multiplication as repeated addition • • • •
十月革命的历史意义Factors and product • • • •
Multiplication table • • • •
Regrouping • • • •
Multiplication notations: a x b , a · b , and a (b ) • • • •
Multiplying whole numbers • • • •
Multiplying decimals • • •
Multiplying fractions and mixed numbers • • •
Multiplying signed numbers • •
Mental multiplication strategies • • • •
Division Dividend, divisor, and quotient • • • •
Dividing with whole numbers • • • •
Remainders • • • •
Math 5/4Math 6/5Math 7/6Math 8/7
Dividing with decimals • • • Dividing with fractions and mixed numbers • • • Dividing with signed numbers • • Mental division strategies • • • • Division notations: division box, division sign, and
顾名思义什么意思
• • • • division bar
Powers Powers as repeated multiplication • • • • Ba and exponent • • • • Powers of whole numbers • • • • Powers of decimals • • Powers of fractions • • Negative exponents • Scientific notation • Relationship of place value to powers of 10 • • • • Roots Square roots • • • • Cube roots • Index • Using a calculator to find roots • • Mastering basic facts • • • • Order of operations • • • • Inver operations • • • Fraction Concepts
Fractions and Mixed Numbers
巨型蚯蚓Reading and writing fractions and mixed numbers • • • • Numerator and denominator • • • • Fractional part of a whole, group, t, or number • • • • Comparing and ordering fractions • • • • Equivalent fractions • • • • Reducing • • • • Improper fractions • • • • Least common denominator • • • • Converting fractions to decimals and percents • • • • Reciprocals • • • Complex fractions • Decimals Reading and writing decimals • • • • Comparing and ordering decimals • • • • Converting decimals to fractions and percents • • • • Percents Reading and writing percents • • • • Identify/find percent of a whole, group, t, or number • • • •
Math 5/4Math 6/5Math 7/6Math 8/7 Converting percents to fractions and decimals • • • • Percents greater than 100% • • Percent of change • Ratios and proportions • • • Rates • • • Estimation Rounding whole numbers • • • • Rounding decimals • • • • Rounding mixed numbers • • • Estimating sums • • • • Estimating differences • • • • Estimating products • • • • Estimating quotients • • • • Estimating roots • • Using estimation to verify reasonableness of calculations • • • • Deciding whether an exact answer or approximate
• • • answer is desired
Number Theory
Fact families • • • • Even and odd • • • • Factors, multiples, and divisibility • • • • Prime and composite numbers • • • Greatest common factor (GCF) • • • Least common multiple (LCM) • • • Divisibility tests • • • Prime factorization • • Number Sets and Number Systems
Counting numbers (natural numbers) • • • • Whole numbers • • • • Decimal number system • • • • Negative numbers • • • • Integers • • • Rational numbers • Irrational numbers • • Real numbers • Roman numerals • • • • Ba 5 • • Ba 2 • Measurement
Units U.S. Customary
Length (inch, foot, yard, mile) • • • • Capacity (cup, pint, quart, gallon) • • • •
Math 5/4Math 6/5Math 7/6Math 8/7
Weight (ounce, pound, ton) • • • • Metric Prefixes (milli-, centi-, deci-, deka-, hecto-, kilo-) • • • • Length (meter) • • • • Capacity (liter) • • • • Mass (kilogram) • • • • Temperature Fahrenheit scale • • • • Celsius scale • • • • Kelvin scale
Time Seconds, minutes, and hours • • • • Days, months, and years • • Decades, centuries, and millennia • • Digital and analog time displays • • Writing time of day • • • Writing dates • • Square units • • • • Cubic units • • • • Degrees of arc • • • • Standard abbreviations • • • • Nonstandard units • • • • Unit Conversion
Conversion in the U.S. Customary System • • • • Conversion in the metric system • • • • Conversion between systems • • • • Simplifying mixed measures • • • Unit multipliers • • Conversion between temperature scales • Measuring Length • • • • Time • • • Capacity • • • Mass/weight • • • Angles • • • • Rotation (clockwi and counterclockwi) • • • Benchmarks for measurements • • • • Measurement activities • • • • Estimating activities • • • • Selecting appropriate units • • • • Using metric scales to reinforce decimal concepts • • • Determining whether measures are reasonable • • • • Determining the precision of a measuring tool •
Math 5/4 Math 6/5 Math 7/6 Math 8/7简爱每回概括
Indirect Measure Scale factor • • • Using similar triangles • • Scale drawings (two-dimensional) • • • Scale models (three-dimensional) • • • Tools
Ruler (U.S. Customary and metric) • • • • Protractor • • • • Thermometer • • • • Balance scale • •
Measuring cup • • •
Stopwatch • •
Geometry
Basic Terms
宝山公园Points • • • • Segments • • • • Rays • • • • Lines • • • • Angles • • • • Planes • • • Lines
Parallel, perpendicular, and intercting • • • • Horizontal, vertical, and oblique • • • Slope • Angles
Acute, obtu, right, and straight • • • • Complementary and supplementary • • Angles formed by transversals • • Calculate to find unknown angle measures • • Angle bictors • • Vertical • Adjacent angles • Polygons
Describing and classifying • • • • Drawing • • • • Sides and vertices • • • • Perimeter • • • • Area • • • • Regular • • • • Similarity and congruence • • • • Complex figures • • • Interior and exterior angles • • Sum of angle measures • •
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