Students multiply the number of each item per goody bag by 12 to fill the "Total number of item needed" column (for example, 5 candy bars × 12 friends = 60). The Goody Bag Planning Sheet and planning table require students to record the total needed and the number of packages for each item, so students compute and write the counts for each item type. Question 5 on the "Spending Your Money" page asks students to "show the total number of goody bag items using the distributive property," with the answer key example 12(5+3) = 96 items, which requires students to compute and report a combined total count.

Students write and convert explicit counts such as "93 out of 100" (Jorge's quiz) into the fraction 93/100 and 93% and complete Activity 11 where Rory's home runs are given as "three out of ten games" and are written as 3/10 and 30%. Multiple student activity pages require students to express counts as fractions and then convert those fractions to percentages (e.g., exercises converting 81/100, 9/10, 7/50, and word problems about portions of games or money). Students also convert decimals representing parts of a whole (e.g., 0.83 to 83%) which involves interpreting a quantity relative to a total.

Students are instructed to collect data for each product by finding two or three options and to record brand, price, package size, and quantity on data collection tables. The Student Activity Pages provide tables with three rows labeled Item 1–Item 3 for entering each product option and spaces for unit price calculations. Instructions remind students to ensure neat data recording and to calculate unit prices from their recorded data. The project requires students to compare unit prices across their collected product options and to star the best buy.

Students are asked to brainstorm 10 or more number facts about themselves and to create a total of at least 10 problems on the poster (Step 1 and Project Checklist). The checklist and requirements repeatedly specify counts (e.g., 5–7 equations, 4–6 inequalities, at least two two-step problems), so students must produce and keep track of a specified number of items. The project requires an answer key and sharing so students check and verify the set of problems they produced.

Students are asked to state how many pieces of data will be collected in multiple contextual problems (e.g., "How many pieces of data will Mr. Collins collect? (twelve — one for each member of the chess team)"). Student pages present similar tasks for Callie (20 scouts) and Jonas (ages of U.S. presidents), asking students to identify the number of data points to be gathered. The Parent Plan questions and answer key explicitly ask students to report the number of observations for scenarios (e.g., Janet will get 18 pieces of data).

Students work with many contexts that state or suggest sample and population sizes (for example: over 22 million registered voters in California; 600 campers with a suggested random sample of 100; twenty marbles pulled as a sample; 800 players in a league; selecting every hundredth citizen). Activities ask students to decide whether to collect data from the whole population or from a sample and to choose sampling methods (for example, choosing 100 names or every hundredth citizen). Several problems and answer keys explicitly mention numbers when describing populations and sample choices.

The lesson explicitly shows how to find the total number of observations by adding frequency counts: "To find the total number of campers who answered the question, she just needs to add all the frequency numbers. Eighty campers responded." Student activities repeatedly ask students to compute totals (e.g., "How many runners competed in the race?", "How many cars were sold at the car lot in all?", "How many times did Carlton go bowling?", "How many days Kimberly tracked the weather?"). Multiple numerical data scenarios (runner times, dog heights, bowling scores, bedtimes, push-ups) require students to create frequency tables or dot plots and then report total counts from those distributions.

Students are asked to count and report totals in context (e.g., Activity 1 question 10: "How many total camp sessions will there be during the summer?" with answer 10). The student activity pages require counting observations for questions such as "How many students took the test?" (answer 20) and "How many days did more than 70 visitors come to the arcade?" (answer 5). Instructions for constructing stem-and-leaf plots explicitly show that each leaf represents one data value, and students are directed to write and order leaves so they can be counted to find frequencies.

Students read a camper-age histogram where each bar shows the number of campers in each interval and then add the frequencies 17 + 18 + 10 + 5 + 2 = 52 to report the total number of campers. The Employee Salaries activity asks "How many employees work at the factory?" and the answer key reports a total of 77 employees, requiring students to sum interval frequencies. The "Making a Histogram" activity requires students to create a frequency table from raw data (number-of-books data) and use those frequencies to build a histogram.

Students are asked to count and report the number of data values in multiple places: the Swim Team Ages dot plot asks "How many data values are there in all?" and identifies 15 observations. Activity pages explicitly ask students to "Determine how many data values are shown on the dot plot," to "Count the number of data values in a stem-and-leaf plot," and to list all data values from a frequency table (Daily Flights). The answer keys confirm students must report totals for examples (e.g., 15, 10, 26, 9).

Students explicitly collect and record sample sizes (e.g., randomly select 10 candies and record frequencies with denominator 10, create a frequency table for the whole candy population, and compute part-to-whole ratios such as 3:10). In the word-length activity students count every 20th (Sample 1) and every 15th (Sample 2) word, record the number of words in each sample, and divide by the number of words to find the mean (answers show Sample 1 had 9 words and Sample 2 had 12). The food-truck example shows a listed data set and uses the total number of observations (24) to compute the mean (600 ÷ 24 = 25).

Students work with several data sets that explicitly show the number of data points (e.g., pumpkin and zucchini tables list 10 observations each), and mean and mean absolute deviation calculations divide by 10, which uses the count of observations. The height bar graphs and dot plots include frequencies (e.g., bar heights labeled as number of children) that require students to read or use counts when answering questions.

Students are asked directly to count and report totals in multiple places, for example: "How many youth participated in the fishing rodeo?" with a frequency table (answer key: 23). Tasks also ask "How many movie-goers provided data for the survey?" (answer key: 37) and "How many data values are represented in each sample?" for histogram samples. Additional questions require counting values on graphs and bar charts (e.g., 125 values on the fair age graph), so students practice finding the number of observations from tables and graphical displays.

The Parent Plan skills list explicitly states that students should "Summarize numerical data sets by reporting the number of observations…". The lesson directs students to collect a specified target of data values (aiming for 10–20 values) and to organize data using lists or frequency tables and dot plots/histograms, activities that require counting observations. The Step 2 and Step 3 directions (recording data values, creating frequency tables) provide opportunities for students to determine the number of observations.

Students work with multiple data tables (Energy Data Table; Supplies Data Table) that list measurements for three locations (Arctic Tundra, Atacama Desert, Himalayan Mountains). Students compute numeric summaries and totals such as heater energy per hour/day/year, total annual energy output, and energy shortfalls that are converted to whole counts of fuel cells (e.g., 119, 2, 29). Students also calculate aggregate costs (monthly and yearly delivery and supply costs) and room area needed for storage, producing concrete numeric results for each location.

Students are instructed to flip a coin and "keep track of how many times it lands on heads and how many on tails," with a recording table for 5, 10, 50, and 100 tosses. An example image explicitly shows "6 out of 10 flips resulted in heads," and directions tell students to use tally marks or numbers and to turn those counts into probabilities. The Life Application game and coin activities require students to write what they predicted, what was rolled, and whether they were correct, which entails recording counts of outcomes.

Students conduct experiments of specified sizes (10, 50, 100 spins) and record results using tally marks and totals for each color in provided tables. The activity pages include "Spinner Results" tables labeled for 50 and 100 spins and instruct students to count how many times the spinner landed on red, blue, and yellow. Example totals (e.g., Red 59, Blue 27, Yellow 14 out of 100) and problems asking for probabilities based on those counts appear in the answer key and mixed review.

Students repeatedly record counts and totals as part of experiments (e.g., Roll of the Dice asks students to use tally marks for 30, 60, and 120 rolls and to compute relative frequency as # times your number showed up / total rolls). The Non-Uniform Events activity has students spin 50 times and record totals for Red, Blue, and Yellow (e.g., Red: 29, Blue: 13, Yellow: 8) and then compute probabilities using those counts over 50. The Probability Models fine-arts example has students add subgroup counts to find a total (16+10+8 = 34) and express probabilities as 16/34, 10/34, 8/34. The cumulative quiz also asks students to report the total number of students surveyed before building a probability model.

Students build sample spaces and explicitly count total outcomes in multiple places (e.g., "There are 6 total outcomes", "There are 8 total outcomes") when listing combinations for spinners, coins, dice, and pens. The Making Inferences activities present sample sizes (for example, 60 students with 14 having a trait; 18 out of 50) and ask students to compute proportions and multiply by a population to predict counts. Activity pages require students to list outcomes with numbered lines (e.g., lists of 6, 8, 12, 18 blanks), which practices identifying the number of observations in a sample space.

Students are directed to run a fixed number of trials (Activity 1: 10 trials; Activities 2–4: 20 trials) and record each trial in a table labeled with Trial #. Activity 4 explicitly instructs students to "count how many trials took 4 or more rolls" and to "write your answer as a fraction: # of trials with 4 or more rolls/20." Several activity pages include sections for "TOTAL" and "AVERAGE," prompting students to compute and report summary counts tied to the number of observations.

Students compute experimental probabilities using explicit counts and total trials in multiple problems (e.g., rolling a die 60 times with fifteen 6s and writing 15/60; rolling a die 100 times with twenty 3s and writing 20/100). Several items require students to record outcomes from repeated trials (coin tossed 10 times with 7 heads; spinner spun 20 times with 6 yellows) and to run simulations with at least 10 trials, which require noting the number of trials run. The answer key shows students' work using numerators and denominators (e.g., 15/60, 20/100, 7/10), indicating students report counts of observations when finding experimental probabilities.

Students use the given "Meet the Dogs" chart with explicit counts for each size/color and sex to compute probabilities by filling a Probability Model table using the formula Number of dogs/60 × 100. Students record and report the counts for each size/color combination (e.g., 3 small brown dogs) and convert those counts into percentages. In the simulation activity, students run trials with a 10-sided die and record the number of rolls until a target outcome appears across five trials and compute the average, documenting their observed counts and rolls in trial tables.

Students collect and record counts in a data table for the Bird Migration activity, plotting each day's total number of birds (x = day, y = number of birds). The Student Activity Page and Parent Plan specify observing for several days (sample shows Day 1–Day 5) and plotting those daily observations as points on a scatterplot. Other activities require students to work with sets of plotted points and to use those data points to find a line of best fit and make predictions.

Students create two-way frequency tables that include a "Total" row and column and are explicitly instructed to use tally marks and add the totals. Multiple examples and questions ask students to find "How many students were surveyed in total?" and interpret the bottom-right total (e.g., 60 students, 89 people). Activities (e.g., Making Two‑Way Frequency Tables, Examples 1 and 2) require students to count entries from raw data lists and record the total number of observations in the table.

Students work with several data sets and tables where counts are used or asked for explicitly. For example, Question 16 asks students to interpret table entries and to determine the total number surveyed (answer key: 40). Activity 17 provides two-way frequency and relative frequency tables and asks students to compute fractions of viewers (e.g., 0.33 for evening soccer), requiring students to use the number of observations in a cell and column totals. Multiple problems present lists of data (e.g., shoe sizes, quiz scores, snack prices) where students compute mean/median/mode, which requires knowing the number of observations.

Students are asked to collect categorical responses using a 'Categorical Tally Sheet' and to "Total Your Tally Chart," which explicitly directs them to add up tallies in each cell to get counts. The two-way table activity pages include cells with space for counts and margin 'Total' fields, and the plan asks students to ask 20 people and record frequencies in the table. The materials model converting those counts into percentages but still show and require entering raw counts/totals before computing relative frequencies.

Students are asked to use the number of trials when calculating experimental probability (e.g., a spinner spun 25 times with 7 yellow outcomes requires computing 7/25). Students explicitly compute total counts in several tasks (e.g., finding the total number of marbles = 10, total letters = 26, and total students surveyed = 20). Problems ask students to use those totals to form probabilities and expected counts (e.g., expected wins in 20 trials = 5), demonstrating reporting and using the number of observations.

Students work with repeated-trial probability situations that require using counts of observations: Question 43 states a spinner was spun 25 times and landed on yellow 7 times, prompting students to compute experimental probability (7/25). Several items ask for sample spaces and counts of outcomes (Question 41 lists 8 combined coin/spinner outcomes; Question 46b explicitly asks "How many outcomes?"). Other probability items (e.g., Problem 44 with 5 stars, 3 circles, 2 squares) require students to use the total number of items (10) when computing probabilities.

In Activity 4 students work with a two-way table that lists counts by activity and time of day and compute relative frequencies using those counts (e.g., the answer key shows calculations like 10/30 = 0.33, 16/40 = 0.40, and 12/50 = 0.24). The answer key explicitly states results in terms of counts and totals, for example: "12/50 = 0.24 (or 24%) of evening students prefer gaming," which reports the number of observations out of a total.