# DesCartes (Combined) Subject: Mathematics Goal: Data Analysis, Statistics, and Probability

Save this PDF as:
Size: px
Start display at page:

## Transcription

1 DesCartes (Combined) Subject: Mathematics Goal: Data Analysis, Statistics, and Probability

2

3 RIT Score Range: Below 171 Below Data Analysis and Statistics Data Analysis and Statistics Solves simple problems based on data from tables* Compares data from simple graphs (e.g., largest, smallest, most often, least often) Interprets simple graphs or tables Interprets data using tally charts Reads and interprets data from a pictograph* Solves simple problems based on data from pictographs Displays data appropriately - bar graph - scale is 1 to 1* Solves simple problems based on data from bar graphs Compares data from simple graphs (e.g., largest, smallest, most often, least often) Probability Probability using a table* New Vocabulary: dollar, fewest, longest, shortest New Vocabulary: fewer, less, quart, taller New Signs and Symbols: \$ dollar sign, is equal to New Signs and Symbols: cm centimeter/centimetre, in. inch, tally mark

4 RIT Score Range: Below Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Solves simple problems based on data from tables* Compares data from simple graphs (e.g., largest, smallest, most often, least often) Interprets simple graphs or tables Interprets data using tally charts Reads and interprets data from a pictograph* Solves simple problems based on data from pictographs Displays data appropriately - bar graph - scale is 1 to 1* Solves simple problems based on data from bar graphs Compares data from simple graphs (e.g., largest, smallest, most often, least often) Probability Probability Probability using a table* Interprets simple graphs or tables Solves simple problems based on data from tally charts* Solves simple problems based on data from pictographs Reads and interprets data from a bar graph Solves simple problems based on data from bar graphs using a spinner with objects hidden in containers* New Vocabulary: dollar, fewest, longest, shortest New Vocabulary: fewer, less, quart, taller New Vocabulary: average, consecutive, lowest, most likely, most often, spinner New Signs and Symbols: \$ dollar sign, is equal to New Signs and Symbols: cm centimeter/centimetre, in. inch, tally mark New Signs and Symbols: none

5 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Interprets simple graphs or tables Interprets data using tally charts Reads and interprets data from a pictograph* Solves simple problems based on data from pictographs Displays data appropriately - bar graph - scale is 1 to 1* Solves simple problems based on data from bar graphs Compares data from simple graphs (e.g., largest, Interprets simple graphs or tables Solves simple problems based on data from tally charts* Solves simple problems based on data from pictographs Reads and interprets data from a bar graph Solves simple problems based on data from bar graphs smallest, most often, least often) Probability Probability Probability using a table* using a spinner with objects hidden in containers* New Vocabulary: fewer, less, quart, taller New Vocabulary: average, consecutive, lowest, most likely, most often, spinner New Signs and Symbols: cm centimeter/centimetre, in. inch, tally mark Solves problems using tables Solves problems using tally charts* Reads and interprets data from a bar graph Reads and interprets dual bar graphs* Reads and interprets simple line graphs Reads and interprets data given in percent form on a circle graph* Draws conclusions from data - tally charts or frequency tables* using a spinner with a dart board* New Vocabulary: line graph New Signs and Symbols: none New Signs and Symbols: a.m., F degrees Fahrenheit, g gram, lb pound, min minute, p.m., percent, : used with time

6 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Interprets simple graphs or tables Solves simple problems based on data from tally charts* Solves simple problems based on data from pictographs Reads and interprets data from a bar graph Solves simple problems based on data from bar graphs Solves problems using tables Solves problems using tally charts* Reads and interprets data from a bar graph Reads and interprets dual bar graphs* Reads and interprets simple line graphs Reads and interprets data given in percent form on a circle graph* Draws conclusions from data - tally charts or frequency tables* Probability Probability Probability using a spinner with objects hidden in containers* New Vocabulary: average, consecutive, lowest, most likely, most often, spinner using a spinner with a dart board* New Signs and Symbols: none New Signs and Symbols: a.m., F degrees Fahrenheit, g gram, lb pound, min minute, p.m., percent, : used with time Reads and interprets tables* Solves problems using tables Understands how the omission or duplication of data affects the interpretation of results from a pictograph* Organizes data to create simple bar graphs Solves problems using bar graphs Solves problems using dual bar graphs* Solves problems using line graphs* Displays data appropriately - simple circle graph - no calculations necessary* Reads and interprets data given in percent form on a circle graph* Interprets data given in circle graphs to solve simple Solves problems using Venn diagrams Draws conclusions from data - bar graphs Predicts from pictographs and bar graphs* Predicts from simple charts and tables Recognizes events that are certain, likely, unlikely, possible, or impossible* Uses the concept of chance to determine the likelihood of an event* Determines the probability for a simple experiment using one or more coins Determines the probability for a simple experiment using objects - must determine size of sample space New Vocabulary: line graph New Vocabulary: bar graph, below, less likely, maximum, random, square mile, times New Signs and Symbols: ft feet, kg kilogram

7 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Solves problems using tables Solves problems using tally charts* Reads and interprets data from a bar graph Reads and interprets dual bar graphs* Reads and interprets simple line graphs Reads and interprets data given in percent form on a circle graph* Draws conclusions from data - tally charts or frequency tables* Reads and interprets tables* Solves problems using tables Understands how the omission or duplication of data affects the interpretation of results from a pictograph* Organizes data to create simple bar graphs Solves problems using bar graphs Solves problems using dual bar graphs* Solves problems using line graphs* Displays data appropriately - simple circle graph - no calculations necessary* Reads and interprets data given in percent form on a circle graph* Interprets data given in circle graphs to solve simple Solves problems using Venn diagrams Draws conclusions from data - bar graphs Predicts from pictographs and bar graphs* Predicts from simple charts and tables Probability Probability Probability using a spinner with a dart board* Recognizes events that are certain, likely, unlikely, possible, or impossible* Uses the concept of chance to determine the likelihood of an event* Determines the probability for a simple experiment using one or more coins Determines the probability for a simple experiment using objects - must determine size of sample space Solves problems using pictographs* Solves problems using bar graphs Interprets data in line graphs (e.g., change over time) Solves problems using line graphs* Reads and interprets circle graphs* Interprets data given in circle graphs to solve simple Solves problems using circle graphs* Reads and interprets Venn diagrams Reads and interprets data in scatter plots Reads and interprets data in line plots* Determines the average (mean) of a simple set of data Solves simple problems involving mean Draws conclusions from data - charts* Predicts from pictographs and bar graphs* Predicts from plotted data* Uses systematic lists to represent problems* Determines the probability for a simple experiment using one die Determines probability from a real-world situation - number of possible outcomes given Determines the probabilities for a simple experiment using a frequency table - must determine size of sample space Determines probability when drawing objects from containers - must determine size of sample space Determines the complement of a simple event* Determines the possible outcomes for a simple probability experiment using spinners Solves problems involving permutations Determines the number of possible combinations of given items

8 New Vocabulary: line graph New Vocabulary: bar graph, below, less likely, maximum, random, square mile, times New Signs and Symbols: a.m., F degrees Fahrenheit, g gram, lb pound, min minute, p.m., percent, : used with time Predicts the sample space, based on the outcome of an experiment - tally sheet* Uses the results of probability experiments or events to predict future events* New Vocabulary: combinations, fastest, fitted line, likelihood, line of best fit, line plot, mean, number cube, outcome, positive linear relationship, prove, scatter plot, systematic list, tails New Signs and Symbols: ft feet, kg kilogram New Signs and Symbols: { } set notation, cent sign, d distance, hr hour, mph miles per hour, P( ) probability, t time

9 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Reads and interprets tables* Solves problems using tables Understands how the omission or duplication of data affects the interpretation of results from a pictograph* Organizes data to create simple bar graphs Solves problems using bar graphs Solves problems using dual bar graphs* Solves problems using line graphs* Displays data appropriately - simple circle graph - no calculations necessary* Reads and interprets data given in percent form on a circle graph* Interprets data given in circle graphs to solve simple Solves problems using Venn diagrams Draws conclusions from data - bar graphs Predicts from pictographs and bar graphs* Predicts from simple charts and tables Solves problems using pictographs* Solves problems using bar graphs Interprets data in line graphs (e.g., change over time) Solves problems using line graphs* Reads and interprets circle graphs* Interprets data given in circle graphs to solve simple Solves problems using circle graphs* Reads and interprets Venn diagrams Reads and interprets data in scatter plots Reads and interprets data in line plots* Determines the average (mean) of a simple set of data Solves simple problems involving mean Draws conclusions from data - charts* Predicts from pictographs and bar graphs* Predicts from plotted data* Probability Probability Probability Recognizes events that are certain, likely, unlikely, possible, or impossible* Uses the concept of chance to determine the likelihood of an event* Determines the probability for a simple experiment using one or more coins Determines the probability for a simple experiment using objects - must determine size of sample space Uses systematic lists to represent problems* Determines the probability for a simple experiment using one die Determines probability from a real-world situation - number of possible outcomes given Determines the probabilities for a simple experiment using a frequency table - must determine size of sample space Determines probability when drawing objects from containers - must determine size of sample space Determines the complement of a simple event* Determines the possible outcomes for a simple probability experiment using spinners Solves problems involving permutations Determines the most accurate sample for a situation* Interprets data given in tables to solve problems Interprets data given in circle graphs to solve complex Solves problems using circle graphs* Determines the average (mean) of a simple set of data Determines the mean of a complex set of data (e.g., fractions, integers, many data points) Estimates the mean from a set of data* Solves simple problems involving mean Solves problems with missing data when the mean is known Determines the middle value (median) from a simple set of data* Determines the mode of a set of data Explains rationale for determining the mean, median, or mode of a set of data* Draws conclusions from data - charts* Predicts from line graphs* Predicts from plotted data* Determines likelihood using tree diagrams* Determines probability - must determine size of sample space Determines the complement of a simple event* Determines the possible outcomes for a simple probability experiment using spinners Determines the possible outcomes for a simple probability experiment using dart boards* Solves problems involving combinations Determines the number of possible combinations of given items Determines the outcome of simple multiple events* Uses previous results to predict future events* Computes probability as a fraction, given equivalent

10 New Vocabulary: bar graph, below, less likely, maximum, random, square mile, times Determines the number of possible combinations of given items Predicts the sample space, based on the outcome of an experiment - tally sheet* Uses the results of probability experiments or events to predict future events* New Vocabulary: combinations, fastest, fitted line, likelihood, line of best fit, line plot, mean, number cube, outcome, positive linear relationship, prove, scatter plot, systematic list, tails New Signs and Symbols: ft feet, kg kilogram New Signs and Symbols: { } set notation, cent sign, d distance, hr hour, mph miles per hour, P( ) probability, t time forms* Given probability as a decimal, estimates probability as a fraction* Identifies whether predictions are based on theoretical or experimental probability* New Vocabulary: experimental probability, frequency table, median, mode, survey, theoretical probability New Signs and Symbols: h hour (SI metric), - negative number, oz ounce, s second (SI metric)

11 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Solves problems using pictographs* Solves problems using bar graphs Interprets data in line graphs (e.g., change over time) Solves problems using line graphs* Reads and interprets circle graphs* Interprets data given in circle graphs to solve simple Solves problems using circle graphs* Reads and interprets Venn diagrams Reads and interprets data in scatter plots Reads and interprets data in line plots* Determines the average (mean) of a simple set of data Solves simple problems involving mean Draws conclusions from data - charts* Predicts from pictographs and bar graphs* Predicts from plotted data* Determines the most accurate sample for a situation* Interprets data given in tables to solve problems Interprets data given in circle graphs to solve complex Solves problems using circle graphs* Determines the average (mean) of a simple set of data Determines the mean of a complex set of data (e.g., fractions, integers, many data points) Estimates the mean from a set of data* Solves simple problems involving mean Solves problems with missing data when the mean is known Determines the middle value (median) from a simple set of data* Determines the mode of a set of data Explains rationale for determining the mean, median, or mode of a set of data* Draws conclusions from data - charts* Predicts from line graphs* Predicts from plotted data* Probability Probability Probability Uses systematic lists to represent problems* Determines the probability for a simple experiment using one die Determines probability from a real-world situation - number of possible outcomes given Determines the probabilities for a simple experiment using a frequency table - must determine size of sample space Determines probability when drawing objects from containers - must determine size of sample space Determines likelihood using tree diagrams* Determines probability - must determine size of sample space Determines the complement of a simple event* Determines the possible outcomes for a simple probability experiment using spinners Determines the possible outcomes for a simple probability experiment using dart boards* Solves problems involving combinations Determines the number of possible combinations of Organizes data using tables* Interprets data given in tables to solve problems Determines appropriate intervals and/or scale for a bar graph* Interprets data given in horizontal and vertical bar graphs to solve problems Interprets data given in line graphs to solve problems* Interprets data given in circle graphs to solve complex Determines the mean of a complex set of data (e.g., fractions, integers, many data points) Estimates the mean from a set of data* Solves problems with missing data when the mean is known Determines the median from a complex set of data (e.g., not in order, many data points) Determines the range of a complex set of data Estimates line of best fit to make predictions Identifies outliers on a data display (e.g., uses interquartile range to identify outliers on a box-and-whisker plot)* Predicts from an analysis of data and statistical measures* Predicts from charts and tables Determines certainty from a set data* Determines sample space given probability of all possible outcomes* Determines probability - must determine size of sample space Modifies sample space to change the probability of an event* Determines the probability of independent simple compound events Determines the complement of a complex event*

12 Determines the complement of a simple event* Determines the possible outcomes for a simple probability experiment using spinners Solves problems involving permutations Determines the number of possible combinations of given items Predicts the sample space, based on the outcome of an experiment - tally sheet* Uses the results of probability experiments or events to predict future events* New Vocabulary: combinations, fastest, fitted line, likelihood, line of best fit, line plot, mean, number cube, outcome, positive linear relationship, prove, scatter plot, systematic list, tails New Signs and Symbols: { } set notation, cent sign, d distance, hr hour, mph miles per hour, P( ) probability, t time given items Determines the outcome of simple multiple events* Uses previous results to predict future events* Computes probability as a fraction, given equivalent forms* Given probability as a decimal, estimates probability as a fraction* Identifies whether predictions are based on theoretical or experimental probability* New Vocabulary: experimental probability, frequency table, median, mode, survey, theoretical probability New Signs and Symbols: h hour (SI metric), - negative number, oz ounce, s second (SI metric) Recognizes the relationship between events and probability - selects an experiment which matches a given probability* New Vocabulary: average salary, box-and-whisker plot, data point, meters per minute, middle, outlier, sample, successive New Signs and Symbols: ( ) ordered pair, \$ dollar sign, C degrees Celsius, m meter/metre, ml milliliter/millilitre,? next in sequence, outlier

13 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Determines the most accurate sample for a situation* Interprets data given in tables to solve problems Interprets data given in circle graphs to solve complex Solves problems using circle graphs* Determines the average (mean) of a simple set of data Determines the mean of a complex set of data (e.g., fractions, integers, many data points) Estimates the mean from a set of data* Solves simple problems involving mean Solves problems with missing data when the mean is known Determines the middle value (median) from a simple set of data* Determines the mode of a set of data Explains rationale for determining the mean, median, or mode of a set of data* Draws conclusions from data - charts* Predicts from line graphs* Predicts from plotted data* Organizes data using tables* Interprets data given in tables to solve problems Determines appropriate intervals and/or scale for a bar graph* Interprets data given in horizontal and vertical bar graphs to solve problems Interprets data given in line graphs to solve problems* Interprets data given in circle graphs to solve complex Determines the mean of a complex set of data (e.g., fractions, integers, many data points) Estimates the mean from a set of data* Solves problems with missing data when the mean is known Determines the median from a complex set of data (e.g., not in order, many data points) Determines the range of a complex set of data Estimates line of best fit to make predictions Identifies outliers on a data display (e.g., uses interquartile range to identify outliers on a box-and-whisker plot)* Predicts from an analysis of data and statistical measures* Predicts from charts and tables Probability Probability Probability Determines likelihood using tree diagrams* Determines probability - must determine size of sample space Determines the complement of a simple event* Determines the possible outcomes for a simple probability experiment using spinners Determines the possible outcomes for a simple probability experiment using dart boards* Solves problems involving combinations Determines the number of possible combinations of Determines certainty from a set data* Determines sample space given probability of all possible outcomes* Determines probability - must determine size of sample space Modifies sample space to change the probability of an event* Determines the probability of independent simple compound events Determines the complement of a complex event* Reads and interprets data in tables Reads and interprets data in stem-and-leaf plots Determines the range of a complex set of data Identifies a set of data with a given mean, median, and/or mode* Predicts from an analysis of data and statistical measures* Determines certainty from a set data* Determines probability using counting procedures* Determines probability using tables Determines the complement of a complex event* Determines probability using an area model Uses multiplication principle of counting to determine possibilities Uses counting procedures to determine possibilities* Uses theoretical probability to predict future events

14 given items Determines the outcome of simple multiple events* Uses previous results to predict future events* Computes probability as a fraction, given equivalent forms* Given probability as a decimal, estimates probability as a fraction* Identifies whether predictions are based on theoretical or experimental probability* New Vocabulary: experimental probability, frequency table, median, mode, survey, theoretical probability New Signs and Symbols: h hour (SI metric), - negative number, oz ounce, s second (SI metric) Recognizes the relationship between events and probability - selects an experiment which matches a given probability* New Vocabulary: average salary, box-and-whisker plot, data point, meters per minute, middle, outlier, sample, successive New Signs and Symbols: ( ) ordered pair, \$ dollar sign, C degrees Celsius, m meter/metre, ml milliliter/millilitre,? next in sequence, outlier New Vocabulary: mileage table, stem and leaf plot New Signs and Symbols: degrees, E east, multiplication, NE northeast, NNE north northeast, N north, NW northwest, S south, W west

15 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Organizes data using tables* Interprets data given in tables to solve problems Determines appropriate intervals and/or scale for a bar graph* Interprets data given in horizontal and vertical bar graphs to solve problems Interprets data given in line graphs to solve problems* Interprets data given in circle graphs to solve complex Determines the mean of a complex set of data (e.g., fractions, integers, many data points) Estimates the mean from a set of data* Solves problems with missing data when the mean is known Determines the median from a complex set of data (e.g., not in order, many data points) Determines the range of a complex set of data Estimates line of best fit to make predictions Identifies outliers on a data display (e.g., uses interquartile range to identify outliers on a box-and-whisker plot)* Reads and interprets data in tables Reads and interprets data in stem-and-leaf plots Determines the range of a complex set of data Identifies a set of data with a given mean, median, and/or mode* Predicts from an analysis of data and statistical measures* Predicts from an analysis of data and statistical measures* Predicts from charts and tables Probability Probability Probability Determines certainty from a set data* Determines sample space given probability of all possible outcomes* Determines probability - must determine size of sample space Modifies sample space to change the probability of an event* Determines the probability of independent simple compound events Determines the complement of a complex event* Determines certainty from a set data* Determines probability using counting procedures* Determines probability using tables Determines the complement of a complex event* Determines probability using an area model Uses multiplication principle of counting to determine possibilities Uses counting procedures to determine possibilities* Uses theoretical probability to predict future events Uses random sampling techniques* Displays data appropriately - circle graph - calculations necessary* Solves complex problems involving mean* Computes and compares mean, median, mode, and range in simple examples to demonstrate that they may differ for a given set of data* Evaluates how adding data to a set of data affects the measures of center* Uses the regression line method to make predictions* Determines certainty from a set data* Determines the probabilities of complex compound events (independent)*

16 Recognizes the relationship between events and probability - selects an experiment which matches a given probability* New Vocabulary: average salary, box-and-whisker plot, data point, meters per minute, middle, outlier, sample, successive New Signs and Symbols: ( ) ordered pair, \$ dollar sign, C degrees Celsius, m meter/metre, ml milliliter/millilitre,? next in sequence, outlier New Vocabulary: mileage table, stem and leaf plot New Vocabulary: none New Signs and Symbols: degrees, E east, multiplication, NE northeast, NNE north northeast, N north, NW northwest, S south, W west New Signs and Symbols: addition

17 RIT Score Range: Above 260 Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Reads and interprets data in tables Reads and interprets data in stem-and-leaf plots Determines the range of a complex set of data Identifies a set of data with a given mean, median, and/or mode* Predicts from an analysis of data and statistical measures* Uses random sampling techniques* Displays data appropriately - circle graph - calculations necessary* Solves complex problems involving mean* Computes and compares mean, median, mode, and range in simple examples to demonstrate that they may differ for a given set of data* Evaluates how adding data to a set of data affects the measures of center* Uses the regression line method to make predictions* Probability Probability Probability Determines certainty from a set data* Determines probability using counting procedures* Determines probability using tables Determines the complement of a complex event* Determines probability using an area model Determines certainty from a set data* Determines the probabilities of complex compound events (independent)* Uses multiplication principle of counting to determine possibilities Determines the probabilities of compound events (dependent) Uses counting procedures to determine possibilities* Uses theoretical probability to predict future events New Vocabulary: mileage table, stem and leaf plot New Vocabulary: none New Vocabulary: none New Signs and Symbols: addition New Signs and Symbols: none New Signs and Symbols: degrees, E east, multiplication, NE northeast, NNE north northeast, N north, NW northwest, S south, W west

18 RIT Score Range: Above Above 260 Data Analysis and Statistics Data Analysis and Statistics Uses random sampling techniques* Displays data appropriately - circle graph - calculations necessary* Solves complex problems involving mean* Computes and compares mean, median, mode, and range in simple examples to demonstrate that they may differ for a given set of data* Evaluates how adding data to a set of data affects the measures of center* Uses the regression line method to make predictions* Probability Probability Determines certainty from a set data* Determines the probabilities of complex compound events (independent)* Determines the probabilities of compound events (dependent) New Vocabulary: none New Vocabulary: none New Signs and Symbols: addition New Signs and Symbols: none

### DesCartes (Combined) Subject: Mathematics Goal: Statistics and Probability

DesCartes (Combined) Subject: Mathematics Goal: Statistics and Probability RIT Score Range: Below 171 Below 171 Data Analysis and Statistics Solves simple problems based on data from tables* Compares

### DesCartes (Combined) Subject: Mathematics 2-5 Goal: Data Analysis, Statistics, and Probability

DesCartes (Combined) Subject: Mathematics 2-5 Goal: Data Analysis, Statistics, and Probability RIT Score Range: Below 171 Below 171 Data Analysis and Statistics Solves simple problems based on data from

### Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced

### Intro to Statistics 8 Curriculum

Intro to Statistics 8 Curriculum Unit 1 Bar, Line and Circle Graphs Estimated time frame for unit Big Ideas 8 Days... Essential Question Concepts Competencies Lesson Plans and Suggested Resources Bar graphs

### Statistics and Probability (Data Analysis)

Statistics and Probability (Data Analysis) Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Specific Learning Outcomes Specific Learning Outcomes Specific Learning Outcomes 2.SP.1. Gather and record data about

### Washington State K 8 Mathematics Standards April 2008

Washington State K 8 Mathematics Standards Data Analysis, Statistics, and Probability Strand In kindergarten through grade 5, students learn a variety of ways to display data, and they interpret data to

### ISAT Mathematics Performance Definitions Grade 4

ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourth-grade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers

### Quarter One: August-October

Quarter One: August-October (Chapters 1 3, 5-6, 10) August - December Quarterly Addition facts with sums through 20 General Math Content 1. Write sums through 20. 1. Choose and enter the appropriate answer.

### Curriculum Map Statistics and Probability Honors (348) Saugus High School Saugus Public Schools 2009-2010

Curriculum Map Statistics and Probability Honors (348) Saugus High School Saugus Public Schools 2009-2010 Week 1 Week 2 14.0 Students organize and describe distributions of data by using a number of different

### EVERY DAY COUNTS CALENDAR MATH 2005 correlated to

EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:

### A Correlation of. to the. South Carolina Data Analysis and Probability Standards

A Correlation of to the South Carolina Data Analysis and Probability Standards INTRODUCTION This document demonstrates how Stats in Your World 2012 meets the indicators of the South Carolina Academic Standards

### Prentice Hall Mathematics: Course 1 2008 Correlated to: Arizona Academic Standards for Mathematics (Grades 6)

PO 1. Express fractions as ratios, comparing two whole numbers (e.g., ¾ is equivalent to 3:4 and 3 to 4). Strand 1: Number Sense and Operations Every student should understand and use all concepts and

### Shape of Data Distributions

Lesson 13 Main Idea Describe a data distribution by its center, spread, and overall shape. Relate the choice of center and spread to the shape of the distribution. New Vocabulary distribution symmetric

### Statistics Chapter 2

Statistics Chapter 2 Frequency Tables A frequency table organizes quantitative data. partitions data into classes (intervals). shows how many data values are in each class. Test Score Number of Students

### Expression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds

Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative

### Algebra 1: Basic Skills Packet Page 1 Name: Integers 1. 54 + 35 2. 18 ( 30) 3. 15 ( 4) 4. 623 432 5. 8 23 6. 882 14

Algebra 1: Basic Skills Packet Page 1 Name: Number Sense: Add, Subtract, Multiply or Divide without a Calculator Integers 1. 54 + 35 2. 18 ( 30) 3. 15 ( 4) 4. 623 432 5. 8 23 6. 882 14 Decimals 7. 43.21

### Indicator 2: Use a variety of algebraic concepts and methods to solve equations and inequalities.

3 rd Grade Math Learning Targets Algebra: Indicator 1: Use procedures to transform algebraic expressions. 3.A.1.1. Students are able to explain the relationship between repeated addition and multiplication.

### MATHS LEVEL DESCRIPTORS

MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and

### CRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide

Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are

### Illinois State Standards Alignments Grades Three through Eleven

Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other

### Current Standard: Mathematical Concepts and Applications Shape, Space, and Measurement- Primary

Shape, Space, and Measurement- Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two- and three-dimensional shapes by demonstrating an understanding of:

### Numeracy Targets. I can count at least 20 objects

Targets 1c I can read numbers up to 10 I can count up to 10 objects I can say the number names in order up to 20 I can write at least 4 numbers up to 10. When someone gives me a small number of objects

### Keystone National Middle School Math Level 7 Placement Exam

Keystone National Middle School Math Level 7 Placement Exam ) Erica bought a car for \$,000. She had to add Pennsylvania s sales tax of 6%. The total price of the car is closest to? \$,00 \$6,000 \$,000 \$,000

### UNIT 1: COLLECTING DATA

Core Probability and Statistics Probability and Statistics provides a curriculum focused on understanding key data analysis and probabilistic concepts, calculations, and relevance to real-world applications.

### Measurement. Customary Units of Measure

Chapter 7 Measurement There are two main systems for measuring distance, weight, and liquid capacity. The United States and parts of the former British Empire use customary, or standard, units of measure.

### COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS

COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS Compiled by Dewey Gottlieb, Hawaii Department of Education June 2010 Operations and Algebraic Thinking Represent and solve problems involving

### This document contains Chapter 2: Statistics, Data Analysis, and Probability strand from the 2008 California High School Exit Examination (CAHSEE):

This document contains Chapter 2:, Data Analysis, and strand from the 28 California High School Exit Examination (CAHSEE): Mathematics Study Guide published by the California Department of Education. The

### Consolidation of Grade 3 EQAO Questions Data Management & Probability

Consolidation of Grade 3 EQAO Questions Data Management & Probability Compiled by Devika William-Yu (SE2 Math Coach) GRADE THREE EQAO QUESTIONS: Data Management and Probability Overall Expectations DV1

### of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

### Exercise 1.12 (Pg. 22-23)

Individuals: The objects that are described by a set of data. They may be people, animals, things, etc. (Also referred to as Cases or Records) Variables: The characteristics recorded about each individual.

### Assessment For The California Mathematics Standards Grade 3

Introduction: Summary of Goals GRADE THREE By the end of grade three, students deepen their understanding of place value and their understanding of and skill with addition, subtraction, multiplication,

### NEW MEXICO Grade 6 MATHEMATICS STANDARDS

PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical

### Converting Units of Measure Measurement

Converting Units of Measure Measurement Outcome (lesson objective) Given a unit of measurement, students will be able to convert it to other units of measurement and will be able to use it to solve contextual

### Algebra 1 Course Information

Course Information Course Description: Students will study patterns, relations, and functions, and focus on the use of mathematical models to understand and analyze quantitative relationships. Through

### Probability and Statistics Vocabulary List (Definitions for Middle School Teachers)

Probability and Statistics Vocabulary List (Definitions for Middle School Teachers) B Bar graph a diagram representing the frequency distribution for nominal or discrete data. It consists of a sequence

### Charlesworth School Year Group Maths Targets

Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve

### REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52

REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts which are taught in the specified math course.

### Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration

CCSS EDITION Overview of -6 Grade-Level Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting

### Everyday Mathematics GOALS

Copyright Wright Group/McGraw-Hill GOALS The following tables list the Grade-Level Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the

### Revision Notes Adult Numeracy Level 2

Revision Notes Adult Numeracy Level 2 Place Value The use of place value from earlier levels applies but is extended to all sizes of numbers. The values of columns are: Millions Hundred thousands Ten thousands

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Final Exam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A researcher for an airline interviews all of the passengers on five randomly

### Florida Math for College Readiness

Core Florida Math for College Readiness Florida Math for College Readiness provides a fourth-year math curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness

### Mathematics Scope and Sequence, K-8

Standard 1: Number and Operation Goal 1.1: Understands and uses numbers (number sense) Mathematics Scope and Sequence, K-8 Grade Counting Read, Write, Order, Compare Place Value Money Number Theory K Count

### Descriptive statistics Statistical inference statistical inference, statistical induction and inferential statistics

Descriptive statistics is the discipline of quantitatively describing the main features of a collection of data. Descriptive statistics are distinguished from inferential statistics (or inductive statistics),

### Fourth Grade Math Standards and "I Can Statements"

Fourth Grade Math Standards and "I Can Statements" Standard - CC.4.OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and

### Mathematics. Probability and Statistics Curriculum Guide. Revised 2010

Mathematics Probability and Statistics Curriculum Guide Revised 2010 This page is intentionally left blank. Introduction The Mathematics Curriculum Guide serves as a guide for teachers when planning instruction

### Grade 8 Classroom Assessments Based on State Standards (CABS)

Grade 8 Classroom Assessments Based on State Standards (CABS) A. Mathematical Processes and E. Statistics and Probability (From the WKCE-CRT Mathematics Assessment Framework, Beginning of Grade 10) A.

Academic Content Standards Grade Eight and Grade Nine Ohio Algebra 1 2008 Grade Eight STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express

### Bar Graphs and Dot Plots

CONDENSED L E S S O N 1.1 Bar Graphs and Dot Plots In this lesson you will interpret and create a variety of graphs find some summary values for a data set draw conclusions about a data set based on graphs

### Voyager Sopris Learning Vmath, Levels C-I, correlated to the South Carolina College- and Career-Ready Standards for Mathematics, Grades 2-8

Page 1 of 35 VMath, Level C Grade 2 Mathematical Process Standards 1. Make sense of problems and persevere in solving them. Module 3: Lesson 4: 156-159 Module 4: Lesson 7: 220-223 2. Reason both contextually

### Problem Solving and Data Analysis

Chapter 20 Problem Solving and Data Analysis The Problem Solving and Data Analysis section of the SAT Math Test assesses your ability to use your math understanding and skills to solve problems set in

### Manitoba Curriculum. Alignment with Mathletics. Supported by independent evidence-based research and practice. Powerful reporting.

Supported by independent evidence-based research practice. Follows provincial curricula Powerful reporting Student centred Content Kindergarten Grade 1 Grade 2 02 04 08 Grade 10 Applied & Pre-Calculus

### Autumn - 12 Weeks. Spring 11 Weeks. Summer 12 Weeks. Not As We Know It Limited 2014

A Year 5 Mathematician Planning of coverage and resources. Autumn - 12 Weeks Spring 11 Weeks Summer 12 Weeks TARGETS NHM YR 5 Collins 5 Abacus 5 Abacus 6 LA Prior Step NHM 4 CPM 4 Ginn 4 Number, place

Math Mammoth End-of-the-Year Test, Grade 6, Answer Key Instructions to the teacher: In order to continue with the Math Mammoth Grade 7 Complete Worktext, I recommend that the student score a minimum of

### The Comparisons. Grade Levels Comparisons. Focal PSSM K-8. Points PSSM CCSS 9-12 PSSM CCSS. Color Coding Legend. Not Identified in the Grade Band

Comparison of NCTM to Dr. Jim Bohan, Ed.D Intelligent Education, LLC Intel.educ@gmail.com The Comparisons Grade Levels Comparisons Focal K-8 Points 9-12 pre-k through 12 Instructional programs from prekindergarten

### Fairfield Public Schools

Mathematics Fairfield Public Schools AP Statistics AP Statistics BOE Approved 04/08/2014 1 AP STATISTICS Critical Areas of Focus AP Statistics is a rigorous course that offers advanced students an opportunity

### Keystone National Middle School Math Level 8 Placement Exam

Keystone National Middle School Math Level 8 Placement Exam 1) A cookie recipe calls for the following ingredients: 2) In the quadrilateral below, find the measurement in degrees for x? 1 ¼ cups flour

### Interpreting Data in Normal Distributions

Interpreting Data in Normal Distributions This curve is kind of a big deal. It shows the distribution of a set of test scores, the results of rolling a die a million times, the heights of people on Earth,

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA. Tuesday, January 22, 2013 9:15 a.m. to 12:15 p.m.

INTEGRATED ALGEBRA The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA Tuesday, January 22, 2013 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to

### 2nd Grade Math Common Core Curriculum

Quarter 1 I. Number 2.1.2.B.1 To allow for refinement of curricular content and to guide the creation of quality aligned assessments, the Objectives column is intentionally incomplete. The District s Curriculum

### UNIT 1 MASS AND LENGTH

UNIT 1 MASS AND LENGTH Typical Units Typical units for measuring length and mass are listed below. Length Typical units for length in the Imperial system and SI are: Imperial SI inches ( ) centimetres

### Common Core State Standards for Mathematics Accelerated 7th Grade

A Correlation of 2013 To the to the Introduction This document demonstrates how Mathematics Accelerated Grade 7, 2013, meets the. Correlation references are to the pages within the Student Edition. Meeting

### Year 6 Mathematics - Student Portfolio Summary

Year 6 - Student Portfolio Summary WORK SAMPLE PORTFOLIOS These work sample portfolios have been designed to illustrate satisfactory achievement in the relevant aspects of the achievement standard. The

### Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9

Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,

### Applied Liberal Arts Mathematics MAT-105-TE

Applied Liberal Arts Mathematics MAT-105-TE This TECEP tests a broad-based overview of mathematics intended for non-math majors and emphasizes problem-solving modeled on real-life applications. Topics

### Math 5th grade. Create your own number and explain how to use expanded form to show place value to the ten millions place.

Number Properties and Operations Whole number sense and addition and subtraction are key concepts and skills developed in early childhood. Students build on their number sense and counting sense to develop

### ALGEBRA I (Common Core) Wednesday, August 13, 2014 8:30 to 11:30 a.m., only

ALGEBRA I (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I (Common Core) Wednesday, August 13, 2014 8:30 to 11:30 a.m., only Student Name: School Name: The

### Pocantico Hills School District Grade 1 Math Curriculum Draft

Pocantico Hills School District Grade 1 Math Curriculum Draft Patterns /Number Sense/Statistics Content Strands: Performance Indicators 1.A.1 Determine and discuss patterns in arithmetic (what comes next

### Summarizing and Displaying Categorical Data

Summarizing and Displaying Categorical Data Categorical data can be summarized in a frequency distribution which counts the number of cases, or frequency, that fall into each category, or a relative frequency

OREGON FOCUS ON MATH OAKS HOT TOPICS TEST PREPARATION WORKBOOK 200-204 8 th Grade TO BE USED AS A SUPPLEMENT FOR THE OREGON FOCUS ON MATH MIDDLE SCHOOL CURRICULUM FOR THE 200-204 SCHOOL YEARS WHEN THE

### TEST A CHAPTER 6, EQUATIONS, INEQUALITIES, PROBLEM SOLVING. 1. Factor x 2-5x + 6. 2. Factor x 2-4x - 5.

TEST A CHAPTER 6, EQUATIONS, INEQUALITIES, PROBLEM SOLVING. Factor x 2-5x + 6. 2. Factor x 2-4x - 5. 3. Solve: (x + 2)(x - 3) = 0 x(x - 3)(x + 4) = 0 4. Solve by factoring: x 2 + x + 2 = 0. 5. Solve by

### Exploratory Data Analysis

Exploratory Data Analysis Johannes Schauer johannes.schauer@tugraz.at Institute of Statistics Graz University of Technology Steyrergasse 17/IV, 8010 Graz www.statistics.tugraz.at February 12, 2008 Introduction

### Bridging Documents for Mathematics

Bridging Documents for Mathematics 5 th /6 th Class, Primary Junior Cycle, Post-Primary Primary Post-Primary Card # Strand(s): Number, Measure Number (Strand 3) 2-5 Strand: Shape and Space Geometry and

### 4 th Grade Summer Mathematics Review #1. Name: 1. How many sides does each polygon have? 2. What is the rule for this function machine?

. How many sides does each polygon have? th Grade Summer Mathematics Review #. What is the rule for this function machine? A. Pentagon B. Nonagon C. Octagon D. Quadrilateral. List all of the factors of

### Exercise Worksheets. Copyright. 2002 Susan D. Phillips

Exercise Worksheets Copyright 00 Susan D. Phillips Contents WHOLE NUMBERS. Adding. Subtracting. Multiplying. Dividing. Order of Operations FRACTIONS. Mixed Numbers. Prime Factorization. Least Common Multiple.

### Day 1. Mental Arithmetic Questions KS3 MATHEMATICS

Mental Arithmetic Questions. The tally chart shows the number of questions a teacher asked in a lesson. How many questions did the teacher ask? KS3 MATHEMATICS 2. How many seconds are there in two minutes?

### Lab 1: The metric system measurement of length and weight

Lab 1: The metric system measurement of length and weight Introduction The scientific community and the majority of nations throughout the world use the metric system to record quantities such as length,

### -- Martensdale-St. Marys Community School Math Curriculum

-- Martensdale-St. Marys Community School Standard 1: Students can understand and apply a variety of math concepts. Benchmark; The student will: A. Understand and apply number properties and operations.

### MATHEMATICS. Standard Course of Study and Grade Level Competencies

MATHEMATICS Standard Course of Study and Grade Level Competencies K-12 Public Schools of North Carolina State Board of Education Department of Public Instruction TABLE OF CONTENTS ACKNOWLEDGMENTS...1

### Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008. Chapter 1: Place, Value, Adding, and Subtracting

Grade 5 Math Pacing Guide Page 1 of 9 Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008 Test Preparation Timeline Recommendation: September - November Chapters 1-5 December

### Open-Ended Problem-Solving Projections

MATHEMATICS Open-Ended Problem-Solving Projections Organized by TEKS Categories TEKSING TOWARD STAAR 2014 GRADE 7 PROJECTION MASTERS for PROBLEM-SOLVING OVERVIEW The Projection Masters for Problem-Solving

### Chapter 1: Looking at Data Section 1.1: Displaying Distributions with Graphs

Types of Variables Chapter 1: Looking at Data Section 1.1: Displaying Distributions with Graphs Quantitative (numerical)variables: take numerical values for which arithmetic operations make sense (addition/averaging)

### Anchorage School District/Alaska Sr. High Math Performance Standards Algebra

Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Algebra 1 2008 STANDARDS PERFORMANCE STANDARDS A1:1 Number Sense.1 Classify numbers as Real, Irrational, Rational, Integer,

### MATH BOOK OF PROBLEMS SERIES. New from Pearson Custom Publishing!

MATH BOOK OF PROBLEMS SERIES New from Pearson Custom Publishing! The Math Book of Problems Series is a database of math problems for the following courses: Pre-algebra Algebra Pre-calculus Calculus Statistics

### Northumberland Knowledge

Northumberland Knowledge Know Guide How to Analyse Data - November 2012 - This page has been left blank 2 About this guide The Know Guides are a suite of documents that provide useful information about

### 7.S.8 Interpret data to provide the basis for predictions and to establish

7 th Grade Probability Unit 7.S.8 Interpret data to provide the basis for predictions and to establish experimental probabilities. 7.S.10 Predict the outcome of experiment 7.S.11 Design and conduct an

### Foundation of Quantitative Data Analysis

Foundation of Quantitative Data Analysis Part 1: Data manipulation and descriptive statistics with SPSS/Excel HSRS #10 - October 17, 2013 Reference : A. Aczel, Complete Business Statistics. Chapters 1

### Calculator allowed. School

Ma KEY STAGE 3 Mathematics test TIER 6 8 Paper 2 Calculator allowed First name Last name School 2008 Remember The test is 1 hour long. You may use a calculator for any question in this test. You will need:

### Engineering Problem Solving and Excel. EGN 1006 Introduction to Engineering

Engineering Problem Solving and Excel EGN 1006 Introduction to Engineering Mathematical Solution Procedures Commonly Used in Engineering Analysis Data Analysis Techniques (Statistics) Curve Fitting techniques

### Primary Curriculum 2014

Primary Curriculum 2014 Suggested Key Objectives for Mathematics at Key Stages 1 and 2 Year 1 Maths Key Objectives Taken from the National Curriculum 1 Count to and across 100, forwards and backwards,

### MEASUREMENT. Historical records indicate that the first units of length were based on people s hands, feet and arms. The measurements were:

MEASUREMENT Introduction: People created systems of measurement to address practical problems such as finding the distance between two places, finding the length, width or height of a building, finding

### ALGEBRA I (Common Core) Monday, January 26, 2015 1:15 to 4:15 p.m., only

ALGEBRA I (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I (Common Core) Monday, January 26, 2015 1:15 to 4:15 p.m., only Student Name: School Name: The possession

### Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975. Consumer Math

Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975 Consumer Math Consumer Math ENROLLED STUDENTS ONLY This course is designed for the student who is challenged by abstract forms of higher This math. course

### Algebra I Vocabulary Cards

Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Absolute Value Order of Operations Expression

### Vertical Alignment Colorado Academic Standards 6 th - 7 th - 8 th

Vertical Alignment Colorado Academic Standards 6 th - 7 th - 8 th Standard 3: Data Analysis, Statistics, and Probability 6 th Prepared Graduates: 1. Solve problems and make decisions that depend on un

### \$566.30. What is the monthly interest rate on the account? (Round to the nearest hundredth of a percent.) 4 = x 12. 7)

Exam Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1)What percent of 6 is 27? 1) 2)64.288 is 28.7% of what number? 2) 3)112% of what number is

### Chapter 1: Exploring Data

Chapter 1: Exploring Data Chapter 1 Review 1. As part of survey of college students a researcher is interested in the variable class standing. She records a 1 if the student is a freshman, a 2 if the student