Horizons

**Horizons Grade Five**

## Content

Unit 1: Number Theory: word numbers through hundred billion, expanded form through hundred billion, Roman numerals, divisibility, prime and composite, prime factorization/factor tree/exponents

Unit 2: Place Value: ones, tens, hundreds/thousands, ten thousands, hundred thousands/millions, ten million, hundred millions, billions, ten billions, hundred billions

Unit 3: Number order: rounding to the nearest 10, rounding to the nearest 100/rounding to the nearest 1000, greater than and less than, equal and not equal

Unit 13: Decimals: fractions to decimals, word numbers to the thousandths, comparing decimals, ordering decimals, add decimals (horizontally and vertically), subtracting decimals, estimating decimals, estimating decimals with money, multiplying decimals by whole numbers, multiplying decimals by decimals, dividing decimals by whole numbers

Unit 12: Fractions: equivalent fractions, greatest common factor, reducing fractions, comparing and ordering fractions, adding and subtracting fractions with common denominator, mixed numbers, improper fractions, least common multiples, adding and subtracting fractions with unlike denominators, adding and subtracting mixed numbers without regrouping, renaming mixed numbers, adding mixed numbers, etc.

Unit 18: Percent: understanding the concept/finding the percent of a number, percent and decimals, percent and fractions, discount and sales tax, fractions as a percent

Unit 13: Decimals: fractions to decimals, word numbers to the thousandths, comparing decimals, ordering decimals, add decimals (horizontally and vertically), subtracting decimals, estimating decimals, estimating decimals with money, multiplying decimals by whole numbers, multiplying decimals by decimals, dividing decimals by whole numbers

Unit 18: Percent: understanding the concept/finding the percent of a number, percent and decimals, percent and fractions, discount and sales tax, fractions as the percent

Unit 4: Addition: addition properties, addition terms, addition facts, addition with two-three-four-five and six digit number, equations, column addition/missing addends, estimating, adding money, more than one operation

Unit 5: Subtraction: subtraction properties, subtraction terms, basic facts, subtraction with two-three-four-five and six digit numbers, equations, estimating, subtracting money, more than one operation

Unit 6: Multiplication: multiplication terms, multiplication facts, multiplication properties/three-digit times a single digit numbers, three-digit times a single digit numbers, three-digit times three-digit numbers multiplying by 10, 100, and 1000, money by two-digit number, missing factors, estimating products, exponents

Unit 7: Division: division term, division facts, division properties, one-digit dividend by one-digit divisor with remainders

Unit 4: Addition: addition properties, addition terms, addition facts, addition with two-three-four-five and six digit number, equations, column addition, missing addends, estimating, adding money, more than one operation

Unit 5: Subtraction: subtraction properties, subtraction terms, basic facts, subtraction with two-three-four-five and six digit numbers, equations, estimating, subtracting money, more than one operation

Unit 13: Decimals: fractions to decimals, word numbers to the thousandths, comparing decimals, ordering decimals, add decimals (horizontally and vertically), subtracting decimals, estimating decimals, estimating decimals with money, multiplying decimals by whole numbers, multiplying decimals by decimals, dividing decimals by whole numbers

Unit 18: Percent: understanding the concept, finding the percent of a nmber, percent and decimals, percent and fractions, discount and sales tax, fractions as the percent

Unit 4: Addition: addition properties, addition terms, addition facts, addition with two-three-four-five and six digit number, equations, column addition/missing addends, estimating, adding money, more than one operation

Unit 5: Subtraction: subtraction properties, subtraction terms, basic facts, subtraction with two-three-four-five and six digit numbers, equations, estimating, subtracting money, more than one operation

Unit 6: Multiplication: multiplication terms, multiplication facts, multiplication properties/three-digit times a single digit numbers, three-digit times a single digit numbers, three-digit times three-digit numbers multiplying by 10, 100, and 1000, money by two-digit numbers, missing factors, estimating products, exponents

Unit 7: Division: division term, division facts, division properties, one-digit dividend by one-digit divisor with remainders

Unit 18: Percent: understanding the concept, finding the percent of a number, percent and decimals, percent and fractions, discount and sales tax, fractions as the percent

Unit 14: Ratio: writing simple ratios, multiplying to find equal ratios, dividing to find equal ratios, cross products

Unit 15: Measurement: standard and metric linear equivalent, standard and metric liquid equivalent, standard and metric weight equivalent, temperature reading and understanding, Fahrenheit and Celsius

Unit 19: Problem Solving: Four-step method, understanding the question, choosing an operation, reasonable or unreasonable, too much or too little information, guess and check understanding remainders, making organized lists, working backwards, make it simpler, logical reasoning, drawing a picture

Unit 17: Equations: addition, subtraction, multiplication, division

Unit 10: Geometry: shapes, solids and diagonals, symmetry, congruent and similar figures, congruent segments and angles, line, line segment, ray, endpoint, plane, parallel, intersecting, perpendicular lines, angles-rays, vertex, acute, obtuse, right, circles: diameter, radius, and chord, compass, protractor, types of triangles, classifying polygons

Unit 11: Perimeter, Area, and Volume: perimeter, area, volume, surface area

Unit 11: Perimeter, Area, and Volume: perimeter, area, volume, surface area

Unit 8: Time: AM,PM, terms, century, time equivalents, elapsed time, calendar, time zones

Unit 11: Perimeter, Area, and Volume: perimeter, area, volume, surface area

Supplementation Required

Unit 16: Graphs: bar, line, pictographs, circle, coordinate graphs, comparing graphs, mean, mode, median

Unit 20: Probability: one variable

Unit 9: Money: money will be covered under addition, subtraction, multiplication and division, counting change

## Curricular Competencies

### Reasoning/Analyzing

Unit 19: Problem Solving: Four-step method, understanding the question, choosing an operation, reasonable or unreasonable, too much or too little information, guess and check understanding remainders, making organized lists, working backwards, make it simpler, logical reasoning, drawing a picture

Unit 4: Addition: addition properties, addition terms, addition facts, addition with two-three-four-five and six digit number, equations, column addition/missing addends, estimating, adding money, more than one operation

Unit 6: Multiplication: multiplication terms, multiplication facts, multiplication properties/three-digit times a single digit numbers, three-digit times a single digit numbers, three-digit times three-digit numbers multiplying by 10, 100, and 1000, money by two-digit numbers, missing factors, estimating products, exponents

Unit 19: Problem Solving: Four-step method, understanding the question, choosing an operation, reasonable or unreasonable, too much or too little information, guess and check understanding remainders, making organized lists, working backwards, make it simpler, logical reasoning, drawing a picture

Supplementation Required

Supplementation Required

### Understanding/Solving

Supplementation Required

Supplementation Required

Unit 9: Money: money will be covered under addition, subtraction, multiplication and division, counting change

Unit 15: Measurement: standard and metric linear equivalent, standard and metric liquid equivalent, standard and metric weight equivalent, temperature reading and understanding, Fahrenheit and Celsius

### Communicating/Representing

Supplementation Required

Supplementation Required

Supplementation Required

### Connecting/Reflecting

Unit 19: Problem Solving: Four-step method/understanding the question/choosing an operation/reasonable or unreasonable/too much or too little information/guess and check understanding remainders/making organized lists/working backwards/make it simpler/logical reasoning/drawing a picture

Unit 8: Time: AM,PM/terms, century, time equivalents, elapsed time/calendar/time zones

Unit 9: Money: money will be covered under addition, subtraction, multiplication and division, counting change

Unit 19: Problem Solving: Four-step method/understanding the question/choosing an operation/reasonable or unreasonable/too much or too little information/guess and check understanding remainders/making organized lists/working backwards/make it simpler/logical reasoning/drawing a picture

Supplementation Required